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Dissertations / Theses on the topic 'Topological invariants'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Metzler, David S. (David Scott). "Topological invariants of symplectic quotients." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/43933.

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2

Mayer, Christoph. "Topological link invariants of magnetic fields." [S.l.] : [s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=969161964.

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3

Larsen, Nicholas Guy. "A New Family of Topological Invariants." BYU ScholarsArchive, 2018. https://scholarsarchive.byu.edu/etd/6757.

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We define an extension of the nth homotopy group which can distinguish a larger class of spaces. (E.g., a converging sequence of disjoint circles and the disjoint union of countably many circles, which have isomorphic fundamental groups, regardless of choice of basepoint.) We do this by introducing a generalization of homotopies, called component-homotopies, and defining the nth extended homotopy group to be the set of component-homotopy classes of maps from compact subsets of (0,1)n into a space, with a concatenation operation. We also introduce a method of tree-adjoinment for "connecting" di

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4

Woolf, Jonathan. "Some topological invariants of singular symplectic quotients." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299436.

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5

Roberts, Justin Deritter. "Quantum invariants via skein theory." Thesis, University of Cambridge, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319336.

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6

Zach, Matthias [Verfasser]. "Topological invariants of isolated determinantal singularities / Matthias Zach." Hannover : Technische Informationsbibliothek (TIB), 2017. http://d-nb.info/1150664274/34.

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7

Brunnbauer, Michael. "Topological properties of asymptotic invariants and universal volume bounds." Diss., lmu, 2008. http://nbn-resolving.de/urn:nbn:de:bvb:19-87504.

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8

Mukherjee, Devarshi [Verfasser]. "Topological Invariants for Non-Archimedean Bornological Algebras / Devarshi Mukherjee." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2020. http://d-nb.info/121973179X/34.

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9

Guerville, Benoît. "Invariants Topologiques d'Arrangements de droites." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3033/document.

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Cette thèse est le point d’intersection entre deux facettes de l’étude des arrangements de droites : la combinatoire et la topologie. Dans une première partie nous avons étudié l’inclusion de la variété bord dans le complémentaire d’un arrangement. Nous avons ainsi généralisé le résultat d’E. Hironaka au cas de tous les arrangements complexes. Pour contourner les problèmes provenant des arrangements non réels, nous avons étudié le diagramme de câblage, dit wiring diagram, qui code la monodromie de tresses sous forme de tresse singulière. Pour pouvoir l'utiliser, nous avons implémenté un progra

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10

Sweeney, Andrew. "A Study of Topological Invariants in the Braid Group B2." Digital Commons @ East Tennessee State University, 2018. https://dc.etsu.edu/etd/3407.

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The Jones polynomial is a special topological invariant in the field of Knot Theory. Created by Vaughn Jones, in the year 1984, it is used to study when links in space are topologically different and when they are topologically equivalent. This thesis discusses the Jones polynomial in depth as well as determines a general form for the closure of any braid in the braid group B2 where the closure is a knot. This derivation is facilitated by the help of the Temperley-Lieb algebra as well as with tools from the field of Abstract Algebra. In general, the Artin braid group Bn is the set of braids on

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11

Newman-Gomez, Sharon Angela. "State sum invariants of three manifolds." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1510.

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12

Leung, Wai-Man Raymond. "On spin c-invariants of four-manifolds." Thesis, University of Oxford, 1995. http://ora.ox.ac.uk/objects/uuid:a9790f36-748f-4574-a97c-4f416ca67207.

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The spin<sup>c</sup>-invariants for a compact smooth simply-connected oriented four-manifold, as defined by Pidstrigach and Tyurin, are studied in this thesis. Unlike the Donaldson polynomial invariants, they are defined by cutting down the moduli space M' of '1-instantons', which is the subspace of the moduli space M of anti-self-dual connections parametrizing coupled (spin<sup>c</sup>) Dirac operators with non-trivial kernel. Our main goal is to study the relationship between these spin<sup>c</sup>-invariants and the Donaldson polynomial invariants. The 'jumping subset' M' defined a cohomolo

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13

Atala, Marcos. "Measuring topological invariants and chiral Meissner currents with ultracold bosonic atoms." Diss., Ludwig-Maximilians-Universität München, 2014. http://nbn-resolving.de/urn:nbn:de:bvb:19-177350.

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Topologische Invarianten sind von zentraler Bedeutung für die Interpretation vieler Phänomene kondensierter Materie. In dieser Arbeit wird die erste Messung einer solchen Invarianten vorgestellt. Dazu wird ein neu entwickeltes Messprotokoll mit ultrakalten bosonischen Atomen in einem eindimensionalen optischen Gitter verwendet. Außerdem wird die Messung chiraler Meissner-Ströme in einer Leitergeometrie in einem künstlichen Magnetfeld sowie die Präparation sogenannter "Resonating Valence Bond"-Zustände (RVB) in vier Gitterplätze umfassenden Plaketten präsentiert. Das Hauptmerkmal des experiment

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14

Araujo, Hamilton Regis Menezes de. "Sobre invariantes topológicos de folheações holomorfas com singularidade isolada." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/22884.

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ARAUJO, H. R. M. Sobre invariantes topológicos de folheações holomorfas com singularidade isolada. 2017. 62 f. Dissertação (Mestrado Acadêmico em Matemática) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Andrea Dantas (pgmat@mat.ufc.br) on 2017-05-25T20:23:00Z No. of bitstreams: 1 2017_dis_hrmaraujo.pdf: 556971 bytes, checksum: 9f274c4a5c917004f3b67a3fc72c5547 (MD5)<br>Rejected by Rocilda Sales (rocilda@ufc.br), reason: Boa tarde, Conferi a Dissertação de HAMILTON REGIS MENEZES DE ARAUJO, e constatei apenas dois erros na formatação no trabalho que d

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15

Upreti, Lavi Kumar. "Periodically driven photonic topological gapless systems." Thesis, Lyon, 2020. http://www.theses.fr/2020LYSEN017.

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Propriétés topologiques de systèmes photoniques non gappés modulés périodiquement. La photonique est une plate-forme où les ondes électromagnétiques (ou photons) se propagent à l'intérieur d'un cristal (comme les ondes de Bloch) formé par les degrés de liberté discrets sous-jacents, par exemple des réseaux de guides d'ondes. Ces ondes ne peuvent pas se propager si la fréquence incidente se situe dans la bande interdite photonique, alors ces ondes sont connues sous le nom d'ondes évanescentes. Ainsi, le cristal se comporte comme un réflecteur de ces ondes. Cependant, s'il existe des modes pour

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16

Blumen, Sacha Carl. "Quantum Superalgebras at Roots of Unity and Topological Invariants of Three-manifolds." University of Sydney. School of Mathematics and Statistics, 2005. http://hdl.handle.net/2123/715.

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The general method of Reshetikhin and Turaev is followed to develop topological invariants of closed, connected, orientable 3-manifolds from a new class of algebras called pseudomodular Hopf algebras. Pseudo-modular Hopf algebras are a class of Z_2-graded ribbon Hopf algebras that generalise the concept of a modular Hopf algebra. The quantum superalgebra Uq(osp(1|2n)) over C is considered with q a primitive Nth root of unity for all integers N &gt = 3. For such a q, a certain left ideal I of U_q(osp(1|2n)) is also a two-sided Hopf ideal, and the quotient algebra U^(N)_q(osp(1|2n)) = U_q(os

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17

Yildirim, Tuna. "Topologically massive Yang-Mills theory and link invariants." Diss., University of Iowa, 2014. https://ir.uiowa.edu/etd/1519.

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In this thesis, topologically massive Yang-Mills theory is studied in the framework of geometric quantization. This theory has a mass gap that is proportional to the topological mass m. Thus, Yang-Mills contribution decays exponentially at very large distances compared to 1/m, leaving a pure Chern-Simons theory with level number k. The focus of this research is the near Chern-Simons limit of the theory, where the distance is large enough to give an almost topological theory, with a small contribution from the Yang-Mills term. It is shown that this almost topological theory consists of two copi

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18

Schwer, Brad. "Characterizing topological spaces using topological or algebraic invariants a thesis presented to the faculty of the Graduate School, Tennessee Technological University /." Click to access online, 2008. http://proquest.umi.com/pqdweb?index=35&did=1679674331&SrchMode=1&sid=1&Fmt=6&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1254145518&clientId=28564.

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19

Sacramento, Andrea de Jesus [UNESP]. "Sobre a equivalência de contato topológica." Universidade Estadual Paulista (UNESP), 2011. http://hdl.handle.net/11449/94226.

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Made available in DSpace on 2014-06-11T19:26:55Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-11-22Bitstream added on 2014-06-13T20:08:00Z : No. of bitstreams: 1 sacramento_aj_me_sjrp.pdf: 3231856 bytes, checksum: 0136158c9dd1d9766f0bd327e206e676 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>O objetivo deste trabalho é estudar a equivalência de contato topológica dos germes de aplicações diferenciáveis tendo como plano de fundo o estudo da equivalência de contato clássica (ou C∞-K-equivalência). Neste sentido, apresentamos inicialmente uma análise d

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20

Atala, Marcos [Verfasser], and Immanuel [Akademischer Betreuer] Bloch. "Measuring topological invariants and chiral Meissner currents with ultracold bosonic atoms / Marcos Atala. Betreuer: Immanuel Bloch." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2014. http://d-nb.info/1065610068/34.

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21

Blanc, Anthony. "Invariants topologiques des espaces non-commutatifs." Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2013. http://tel.archives-ouvertes.fr/tel-01012109.

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Dans cette thèse, on donne une définition de la K-théorie topologique des espaces non-commutatifs de Kontsevich (c'est-à-dire des dg-catégories) définis sur les nombres complexes. L'introduction de ce nouvel invariant initie la recherche des invariants de nature topologique des espaces non-commutatifs, comme "simplifications" des invariants algébriques (K-théorie algébrique, homologie cyclique, périodique comme étudiés dans les travaux de Tsygan, Keller). La motivation principale vient de la théorie de Hodge non-commutative au sens de Katzarkov--Kontsevich--Pantev. En géométrie algébrique, la

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22

Riba, Garcia Ricard. "Trivial 2-cocycles for invariants of mod p homology spheres and Perron's conjecture." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/664243.

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L'objectiu principal d'aquesta tesis és l'estudi de la conjectura de Perron. Aquesta conjectura afirma que certa funcio sobre el grup de Torelli mod p amb valors en Z/p és un invariant d'esferes d'homologia modul p. Per tal d'abordar l'estudi d'aquesta conjectura, en aquesta tesis primer estudiem les esferes d'homologia modul p, les esferes d'homologia racional, i donem un criteri per determinar quan una esfera d'homologia racional té un split de Heegaard amb aplicació d'enganxament un element del grup de Torelli mod p, el cual ve donat pel nucli de la representació Symplectica modul p de

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23

El, Sokhen Rabih. "Two-dimensional topological properties of photonic mesh lattices subject to discrete step walks." Electronic Thesis or Diss., Université de Lille (2022-....), 2024. http://www.theses.fr/2024ULILR067.

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Cette thèse explore expérimentalement et numériquement les invariants de volume et de bord dans un réseau photonique synthétique 2D soumis à des marches discrètes. Le réseau est réalisé par multiplexage temporal d'impulsions lumineuses dans deux anneaux de fibres optiques de longueurs inégales, couplés à un coupleur variable (VBS). Dans cette configuration, une dimension présente une dynamique dans l'espace réel, tandis que l'autre est gouvernée par un modulateur de phase externe (PM). En utilisant la détection hétérodyne, nous accédons aux informations spectrales et mesurons les valeurs propr

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24

Boros, Dan. "On ℓ²-homology of low dimensional buildings". Columbus, Ohio : Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc%5fnum=osu1062707630.

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Thesis (Ph. D.)--Ohio State University, 2003.<br>Title from first page of PDF file. Document formatted into pages; contains vi, 77 p. Includes abstract and vita. Advisor: Michael Davis, Dept. of Mathematics. Includes bibliographical references (p. 75-77).

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25

Lamberti, Fabrice-Roland. "Opto-phononic confinement in GaAs/AlAs-based resonators." Thesis, Sorbonne Paris Cité, 2018. http://www.theses.fr/2018USPCC103/document.

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Ces travaux de thèse portent sur la conception et sur la caractérisation expérimentale de résonateurs opto-phononiques. Ces structures permettent le confinement simultané de modes optiques et de vibrations mécaniques de très haute fréquence (plusieurs dizaines jusqu’à plusieurs centaines de GHz). Cette étude a été effectuée sur des systèmes multicouches à l’échelle nanométrique, fabriqués à partir de matériaux semiconducteurs de type III-V. Ces derniers ont été caractérisés par des mesures de spectroscopie Raman de haute résolution. Grâce aux méthodes expérimentales et aux outils numériques dé

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26

De, Renzi Marco. "Construction of extended topological quantum field theories." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC114/document.

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La position centrale occupée par les Théories Quantiques des Champs Topologiques (TQFTs) dans l’étude de la topologie en basse dimension est due à leur structure extraordinairement riche, qui permet différentes interactions et applications à des questions de nature géométrique. Depuis leur première apparition, un grand effort a été mis dans l’extension des invariants quantiques de 3-variétés en TQFTs et en TQFT Étendues (ETQFTs). Cette thèse s’attaque à ce problème dans deux cadres généraux différents. Le premier est l’étude des invariants quantiques semi-simples de Witten, Reshetikhin et Tura

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27

Gäfvert, Oliver. "Algorithms for Multidimensional Persistence." Thesis, KTH, Matematik (Avd.), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-188849.

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The theory of multidimensional persistence was introduced in a paper by G. Carlsson and A. Zomorodian as an extension to persistent homology. The central object in multidimensional persistence is the persistence module, which represents the homology of a multi filtered space. In this thesis, a novel algorithm for computing the persistence module is described in the case where the homology is computed with coefficients in a field. An algorithm for computing the feature counting invariant, introduced by Chachólski et al., is investigated. It is shown that its computation is in general NP-hard, b

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28

Robert, Gilles. "Invariants topologiques et géométriques reliés aux longueurs des géodésiques et aux sections harmoniques de fibrés." Université Joseph Fourier (Grenoble), 1994. http://www.theses.fr/1994GRE10185.

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Cette these est composee de deux parties independantes. Le but poursuivi dans la premiere partie consiste a etudier differents invariants dynamiques lies au flot geodesique de maniere purement geometrique, afin de mieux apprehender leurs liens vis-a-vis de la metrique riemannienne. Un theoreme de fonctions implicites permet ainsi de calculer la derivee seconde par rapport a la metrique, au sens des espaces de banach, de la longueur de la geodesique minimisante dans une classe d'homotopie fixee. Une propriete de convexite pour l'entropie volumique par rapport a la metrique donne une preuve tres

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29

Sarmiento, Ingrid Sofia Meza. "A topologia de folheações e sistemas integráveis Morse-Bott em superfícies." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11012016-112023/.

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Nesta tese estudamos os sistemas integráveis definidos em superfícies compactas possuindo uma integral primeira que é uma função Morse-Bott a valores em R. Estes sistemas são aqui chamados de sistemas integráveis Morse-Bott. Classificamos as curvas fechadas e oitos associados a pontos de selas imersos em superfícies compactas. Essa classificação é aplicada ao estudo das folheações Morse-Bott em superfícies e nos permite definir um invariante topológico completo para a classificação topológica global destas folheações. Como uma aplicação desse estudo obtemos a classificação dos sistemas Morse-B

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30

Baptista, Diogo Pedro Ferreira Nascimento. "Iteradas de aplicações do plano no plano." Doctoral thesis, Universidade de Évora, 2008. http://hdl.handle.net/10174/12257.

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Neste trabalho estudamos as iteradas de aplicações do plano no plano. Usando as técnicas da dinâmica simbólica em aplicações do plano no plano, tendo sempre por base a teoria de amassamento de Milnor e Thurston e o formalismo da dinâmica simbólica desenvolvido por Sousa Ramos, abordamos diferentes aspectos qualitativos da dinâmica das aplicações de Lozi. Assim, através da dinâmica simbólica introduzida por Yutaka Ishii, começamos por refor-mular a fronteira do espaço dos parâmetros correspondente às aplicações de Lozi equivalentes à ferradura de Smale. No seguimento, apresentamos um método que

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31

Dong, Zhaoyang. "Topological attractors of quasi-periodically forced one-dimensional maps." Doctoral thesis, Universitat Autònoma de Barcelona, 2019. http://hdl.handle.net/10803/666774.

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This thesis is concerned with topological attractors of some quasi-periodically forced one-dimensional maps. The main aim of our study is to under- stand the states of the attractors by analyzing the mechanisms which rule the dynamics of the maps. Concretely we investigate two types of quasi- periodically forced one-dimensional families. The first type consists of two di erent quasi-periodically forced increasing systems. We present rigorous proofs for the states of their attractors. The second type of systems that we consider are those quasi-periodically forced S-unimodal systems. We p

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Moncao, de Carvalho Santana Hellen. "Euler obstruction and generalizations." Thesis, Aix-Marseille, 2019. http://www.theses.fr/2019AIXM0641.

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Soit f, g : (X, 0)→ (C, 0) des germes des fonctions analytiques définies sur un espace analytique complexe X. Le nombre de Brasselet d’une fonction f décrit numériquement la topologie de la fibre de Milnor généralisée. Dans cette thèse, nous présentons des formules qui compare les nombres de Brasselet de f dans X et de f restreinte à X ∩ { g=0 } dans le cas où g a un ensemble critique stratifié de dimension un. Si, en plus, f a une singularité isolée à l’origine, nous déterminons le nombre de Brasselet de g dans X et nous le mettons en relation avec le nombre de Brasselet de f dans X. Par cons

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33

Gasparim, Elizabeth Terezinha 1963. "Tres cardinais invariantes topologicos." [s.n.], 1989. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306216.

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Orientador : Ofelia Teresa Alas<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica<br>Made available in DSpace on 2018-07-14T17:42:04Z (GMT). No. of bitstreams: 1 Gasparim_ElizabethTerezinha_M.pdf: 889170 bytes, checksum: 45376c4e672a42988115252f55e0065e (MD5) Previous issue date: 1989<br>Resumo: Neste trabalho estudamos os conceitos de tightness, set-tightness e T-tightness. Investigamos o comportamento de tightnes sob as compactificações de Alexandroff e Stone-Cech em alguns exemplos específicos. Calculamos tightness,

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Barbosa, Grazielle Feliciani. "Topologia de singularidades e o estudo de seus invariantes." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-08052008-135109/.

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Algumas relações entre A-invariantes de germes de aplicações de coposto 1 equidimensionais f : \'C POT. n\' , 0 \'SETA\' \"C POT.n\', 0 são descritas. O principal resultado estabelece que a soma alternada de números de Milnor dos fechos dos conjuntos Ai na fonte de f é igual a multiplicidade local de f menos n + 1. E existem fórmulas correspondentes para os s-tipos estáveis locais A(\'k IND.1\' ,...\'k IND.s\'). As relações nos garantem condiçõoes para a A-finitude de f e para a A-trivialidade topológica de deformações de f. Também classificamos os germes de aplicações A-simples f : \'C POT.2\

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Kimme, Lukas. "Bound states and resistive edge transport in two-dimensional topological phases." Doctoral thesis, Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-212743.

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The subject of the present thesis are some aspects of impurities affecting mesoscopic systems with regard to their topological properties and related effects like Majorana fermions and quantized conductance. A focus is on two-dimensional systems including both topological insulators and superconductors. First, the question of whether individual nonmagnetic impurities can induce zero-energy states in time-reversal invariant superconductors from Altland-Zirnbauer (AZ) symmetry class DIII is addressed, and a class of symmetries which guarantee the existence of such states for a specific value of

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Schneider, Friedrich Martin, and Andreas Thom. "On Følner sets in topological groups." Cambridge University Press, 2018. https://tud.qucosa.de/id/qucosa%3A70711.

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We extend Følner’s amenability criterion to the realm of general topological groups. Building on this, we show that a topological group G is amenable if and only if its left-translation action can be approximated in a uniform manner by amenable actions on the set G. As applications we obtain a topological version of Whyte’s geometric solution to the von Neumann problem and give an affirmative answer to a question posed by Rosendal.

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Cecchi, Bernales Paulina Alejandra. "Invariant measures in symbolic dynamics : a topological, combinatorial and geometrical approach." Thesis, Sorbonne Paris Cité, 2019. https://theses.md.univ-paris-diderot.fr/CECCHI-BERNALES_Paulina_2_complete_20190626.pdf.

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Dans ce travail nous étudions quelques propriétés des systèmes symboliques, avec un accent particulier mis sur le rôle joué par les mesures invariantes de tels systèmes. Nous nous attachons à l'étude des mesures invariantes d'un point de vue topologique, combinatoire et géométrique. Du point de vue topologique, nous nous concentrons sur le problème de l'équivalence orbitale et l'équivalence orbitale forte entre des systèmes dynamiques donnés par des actions minimales de Z, par l'étude d'un invariant algébrique, à savoir, le groupe de dimension dynamique. Notre travail donne une description du

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Duan, Zhihao. "Topological string theory and applications." Thesis, Paris Sciences et Lettres (ComUE), 2019. http://www.theses.fr/2019PSLEE011/document.

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Cette thèse porte sur diverses applications de la théorie des cordes topologiques basée sur différents types de variétés de Calabi-Yau (CY). Le premier type considéré est la variété torique CY, qui est intimement liée aux problèmes spectraux des différents opérateurs. L'exemple particulier considéré dans la thèse ressemble beaucoup au modèle de Harper-Hofstadter en physique de la matière condensée. Nous étudions d’abord les secteurs non perturbatifs dans ce modèle et proposons une nouvelle façon de les calculer en utilisant la théorie topologique des cordes. Dans la deuxième partie de la thèse

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Hagan, Scott. "Scale invariant and topological approaches to the cosmological constant problem." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=39926.

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The cosmological constant is historically reviewed from its introduction in classical and relativistic cosmology through its modern quantum guise where it appears as a vacuum energy density. Limits on the empirical value are in glaring contradiction to the expectations of field theoretical calculations.<br>Motivated by the natural connection between dilatation invariance and the extinction of the vacuum energy density, a phenomenological realization of a global scale symmetry is constructed. A complete treatment of such a realization in the context of a supergravitational toy model is calculat

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Simmons, Skyler C. "Topological Properties of Invariant Sets for Anosov Maps with Holes." BYU ScholarsArchive, 2011. https://scholarsarchive.byu.edu/etd/3101.

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We begin by studying various topological properties of invariant sets of hyperbolic toral automorphisms in the linear case. Results related to cardinality, local maximality, entropy, and dimension are presented. Where possible, we extend the results to the case of hyperbolic toral automorphisms in higher dimensions, and further to general Anosov maps.

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Borot, Gaëtan. "Quelques problèmes de géométrie énumérative, de matrices aléatoires, d'intégrabilité, étudiés via la géométrie des surfaces de Riemann." Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112092/document.

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La géométrie complexe est un outil puissant pour étudier les systèmes intégrables classiques, la physique statistique sur réseau aléatoire, les problèmes de matrices aléatoires, la théorie topologique des cordes, …Tous ces problèmes ont en commun la présence de relations, appelées équations de boucle ou contraintes de Virasoro. Dans le cas le plus simple, leur solution complète a été trouvée récemment, et se formule naturellement en termes de géométrie différentielle sur une surface de Riemann : la "courbe spectrale", qui dépend du problème. Cette thèse est une contribution au développement de

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Gheisarieha, Mohsen. "Topological chaos and chaotic mixing of viscous flows." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/27768.

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Since it is difficult or impossible to generate turbulent flow in a highly viscous fluid or a microfluidic system, efficient mixing becomes a challenge. However, it is possible in a laminar flow to generate chaotic particle trajectories (well-known as chaotic advection), that can lead to effective mixing. This dissertation studies mixing in flows with the limiting case of zero Reynolds numbers that are called Stokes flows and illustrates the practical use of different theories, namely the topological chaos theory, the set-oriented analysis and lobe dynamics in the analysis, design and optimiza

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Mendonça, Hudson Kazuo Teramoto. "Teorias de 2-gauge e o invariante de Yetter na construção de modelos com ordem topológica em 3-dimensões." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-01082017-155641/.

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Ordem topológica descreve fases da matéria que não são caracterizadas apenas pelo esquema de quebra de simetria de Landau. Em 2-dimensões ordem topológica é caracterizada, entre outras propriedades, pela existência de uma degenerescência do estado fundamental que é robusta sobre perturbações locais arbitrarias. Com o proposito de entender o que caracteriza e classifica ordem topológica 3-dimensional o presente trabalho apresenta um modelo quântico exatamente solúvel em 3-dimensões que generaliza os modelos em 2-dimensões baseados em teorias de gauge. No modelo proposto o grupo de gauge é subst

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Gazon, Amanda Buosi [UNESP]. "Um estudo sobre certos invariantes homológicos relativos duais." Universidade Estadual Paulista (UNESP), 2012. http://hdl.handle.net/11449/92946.

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Made available in DSpace on 2014-06-11T19:26:15Z (GMT). No. of bitstreams: 0 Previous issue date: 2012-03-02Bitstream added on 2014-06-13T19:33:40Z : No. of bitstreams: 1 gazon_ab_me_sjrp.pdf: 514461 bytes, checksum: a28c7f2428994893238d1ea3bcd3a9b1 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Baseado na teoria de cohomologia de grupos, Andrade e Fanti definiram um invariante algébrico, denotado por E(G;S;M), onde G é um grupo, S é uma família de subgrupos de G de índice finito e Mé um Z 2G-módulo. O objetivo deste trabalho é definir um invariante dual a E(

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Lattanzi, Guemael Rinaldi. "Nós legendreanos e seus invariantes." Universidade Federal de Viçosa, 2013. http://locus.ufv.br/handle/123456789/4925.

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Made available in DSpace on 2015-03-26T13:45:36Z (GMT). No. of bitstreams: 1 texto completo.pdf: 1441623 bytes, checksum: 546ade192993fd13d15e3039ab577882 (MD5) Previous issue date: 2013-07-31<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>In this work, we study the classical invariants of Legendrian Knots Theory and we show that these are not complet. To do this we introduce a notion of a Basic Knot Theory like their classical invariants, Thurston-Bennequin number and Maslov number. Then we discuss a new tool developed by Chekanon and denoted by DGA (Differential Graduate

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Silva, Anderson Alves da. "Construção de uma teoria quântica dos campos topológica a partir do invariante de Kuperberg." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-26102015-133218/.

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Resumo Neste trabalho apresentamos, em detalhes, a construção de uma teoria quântica dos campos topológica (TQCT). Podemos definir uma TQCT como um funtor simétrico monoidal da categoria dos cobordismos para a categoria dos espaços vetoriais. Em duas dimensões podemos encontrar uma descrição completa da categoria dos cobordismos e classificar todas as TQCT\'s. Em três dimensões é possível estender alguns invariantes para 3-variedades e construir uma TQCT 3D. Nossa construção é baseada no invariante para 3-variedades de Kuperberg, o qual envolve diagramas de Heegaard e álgebras de Hopf. Começam

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Gazon, Amanda Buosi. "Um estudo sobre certos invariantes homológicos relativos duais/." São José do Rio Preto : [s.n.], 2012. http://hdl.handle.net/11449/92946.

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Orientador: Maria Gorete Carreira Andrade<br>Banca: Pedro Luiz Queiroz Pergher<br>Banca: Ermínia de Lourdes Campello Fanti<br>Resumo: Baseado na teoria de cohomologia de grupos, Andrade e Fanti definiram um invariante algébrico, denotado por E(G;S;M), onde G é um grupo, S é uma família de subgrupos de G de índice finito e Mé um Z 2G-módulo. O objetivo deste trabalho é definir um invariante dual a E(G;S;M), que denotaremos por E (G;S;M), utilizando a homologia de grupos em vez da cohomologia. Com este invariante, obtemos diversos resultados e aplicações, principalmente nas teorias de grupos e p

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Uggioni, Bruno Brogni. "Convergência da convolução de probabilidades invariantes pelo deslocamento." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2016. http://hdl.handle.net/10183/150847.

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Essa tese foi inspirada no artigo [10] de Lindenstrauss et al. e remete ao trabalho fundamental de Furstenberg [5]. Sejam (Z=pZ)N o produto cartesiano unlilateral de in nitas cópias de Z=pZ e a função shift em (Z=pZ)N.<br>This thesis was inspired by the Lindenstrauss' article [10] and the fundamental work of Furstenberg [5]. Let (Z=pZ)N be the compact group which is the cartesian product of in nite copies of the nite group Z=pZ and be the shift function on (Z=pZ)N.

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Bianco, Giuseppe. "Studio di invarianti topologici attraverso applicazioni lisce e campi di vettori." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16412/.

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Uno studio di alcune proprietà delle varietà attraverso lo studio delle funzioni lisce fra varietà e dei campi di vettori. Su queste, in particolare si arriverà a provare, usando alcuni strumenti elementari ed altri più fini di topologia, il teorema del grado di Hopf ed il teorema di Poincarè-Hopf.

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Ngo, Hoai Diem Phuc. "Rigid transformations on 2D digital images : combinatorial and topological analysis." Thesis, Paris Est, 2013. http://www.theses.fr/2013PEST1091/document.

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Dans cette thèse, nous étudions les transformations rigides dans le contexte de l'imagerie numérique. En particulier, nous développons un cadre purement discret pour traiter ces transformations. Les transformations rigides, initialement définies dans le domaine continu, sont impliquées dans de nombreuses applications de traitement d'images numériques. Dans ce contexte, les transformations rigides digitales induites présentent des propriétés géométriques et topologiques différentes par rapport à leurs analogues continues. Afin de s'affranchir des problèmes inhérents à ces différences, nous prop

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