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Tesis sobre el tema "Chern character"

Autor: Grafiati
Publicado: 4 de junio de 2021
Última modificación: 1 de febrero de 2022

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1

Platt, David. "Chern Character for Global Matrix Factorizations". Thesis, University of Oregon, 2013. http://hdl.handle.net/1794/13244.

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We give a formula for the Chern character on the DG category of global matrix factorizations on a smooth scheme $X$ with superpotential $w\in \Gamma(\O_X)$. Our formula takes values in a Cech model for Hochschild homology. Our methods may also be adapted to get an explicit formula for the Chern character for perfect complexes of sheaves on $X$ taking values in right derived global sections of the De-Rham algebra. Along the way we prove that the DG version of the Chern Character coincides with the classical one for perfect complexes.
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2

Dumitraşcu, Constantin Dorin. "The odd chern character and obstruction theory /". This resource online, 1995. http://scholar.lib.vt.edu/theses/available/etd-05092009-040330/.

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3

Dumitra?cu, Constantin Dorin. "The odd chern character and obstruction theory". Thesis, Virginia Tech, 1995. http://hdl.handle.net/10919/42530.

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Having as starting point a formula described in the paper of Baum & Douglas, [BmDg] the odd-degree component of the Chern character is is analyzed. Our presentation uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-degree component (see Theorem 4.3.1) and leads to a natural justification of the fundamental property of the Chern character, i.e. of being a ring homomorphism. The reader is assumed to have some background in topological Î -theory and algebraic topology.


Master of Science
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4

Liu, Wenran. "Caractère de Chern en cohomologie basique équivariante". Thesis, Montpellier, 2017. http://www.theses.fr/2017MONTS026/document.

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Depuis 1980, il est un problème ouvert de donner des formules cohomologiques pour l'indice basique d'un opérateur différentiel basique transversalement elliptique sur un fibré vectoriel au dessus d'une variété feuilletée. Dans les années 1990, El Kacimi-Alaoui a proposé d'utiliser la théorie de Molino pour étudier cette indice. Molino a montré qu'à tout feuilletage Riemannien transversalement orienté, nous pouvons associer une variété, appelée variété basique, qui est munie d'une action du groupe orthogonal, El Kacimi-Alaoui a montré comment associer à l'opérateur basique transversalement elliptique un opérateur sur un fibré vectoriel, appelé fibré utile, au dessus de la variété basique.L'idée est d'obtenir la formule cohomologique espérée à partir des résultats sur l'opérateur sur le fibré utile. Cette thèse est une première étape dans cette direction. Lorsque le feuilletage Riemannien est de Killing, Goertsches et Töben ont remarqué qu'il existe un isomorphisme cohomologique naturel entre la cohomologie basique équivariante du feuilletage de Killing et la cohomologie équivariante de la variété basique.Le résultat principal de cette thèse est de donner une réalisation géométrique de l'isomorphisme cohomologique ci-dessus à travers les caractères de Chern sous certaine Hypothèse
From 1980s, it is an open problem of proposing cohomologic formula for the basic index of a transversally elliptic basic differential operator on a vector bundle over a foliated manifold. In 1990s, El Kacimi-Alaoui has proprosed to use the Molino theory for study this index. Molino has proved that to every transversally oriented Riemannien foliation, we can associate a manifold, called basique manifold, which is équiped with an action of orthogonal group, El Kacimi-Alaoui has shown how to associate a transversally elliptic basic differential operator an operator on a vector bundle, called useful bundle, over the basique manifold.The idea is to obtain the desired cohomologic formula from résultats about the operator on the useful bundle. This thesis is a first step in this direction. While the Riemannien foliation is Killing, Goertsches et Töben have remarked that there exists a naturel cohomologic isomorphism between the equivariant basique cohomology of the Killing foliation and the equivariant cohomology of the basique manifold.The principal result of this thesis is the geometric realisation of the cohomologic isomorphism by Chern characters under some hypothèses
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5

Taher, Chadi. "Calculating the parabolic chern character of a locally abelain parabolic bundle : the chern invariants for parabolic bundles at multiple points". Nice, 2011. http://www.theses.fr/2011NICE4013.

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In this thesis we calculate the parabolic Chern character of a bundle with locally abelian parabolic structure on a smooth strict normal crossings divisor, using the definition in terms of Deligne-Mumford stacks. We obtain explicit formulas for ch_1, ch_2 and ch_3, and verify that these correspond to the formulas given by Borne for ch_1 and Mochizuki for ch_2. The second part of the thesis we take D subset in X is a curve with multiple points in a surface, a parabolic bundle defined on (X, D) away from the singularities can be extended in several ways to a parabolic bundle on a resolution of singularities. We investigate the possible parabolic Chern classes for these extensions.
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6

Schlarmann, Eric [Verfasser] y Bernhard [Akademischer Betreuer] Hanke. "A cocycle model for the equivariant Chern character and differential equivariant K-theory / Eric Schlarmann ; Betreuer: Bernhard Hanke". Augsburg : Universität Augsburg, 2020. http://d-nb.info/1219852554/34.

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7

Dias, David Pires. "O caráter de Chern-Connes para C*-sistemas dinâmicos calculado em algumas álgebras de operadores pseudodiferenciais". Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05082008-164858/.

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Dado um C$^*$-sistema dinâmico $(A, G, \\alpha)$ define-se um homomorfismo, denominado de caráter de Chern-Connes, que leva elementos de $K_0(A) \\oplus K_1(A)$, grupos de K-teoria da C$^*$-álgebra $A$, em $H_{\\mathbb}^*(G)$, anel da cohomologia real de deRham do grupo de Lie $G$. Utilizando essa definição, nós calculamos explicitamente esse homomorfismo para os exemplos $(\\overline{\\Psi_^0(S^1)}, S^1, \\alpha)$ e $(\\overline{\\Psi_^0(S^2)}, SO(3), \\alpha)$, onde $\\overline{\\Psi_^0(M)}$ denota a C$^*$-álgebra gerada pelos operadores pseudodiferenciais clássicos de ordem zero da variedade $M$ e $\\alpha$ a ação de conjugação pela representação regular (translações).
Given a C$^*$-dynamical system $(A, G, \\alpha)$ one defines a homomorphism, called the Chern-Connes character, that take an element in $K_0(A) \\oplus K_1(A)$, the K-theory groups of the C$^*$-algebra $A$, and maps it into $H_{\\mathbb}^*(G)$, the real deRham cohomology ring of $G$. We explictly compute this homomorphism for the examples $(\\overline{\\Psi_^0(S^1)}, S^1, \\alpha)$ and $(\\overline{\\Psi_^0(S^2)}, SO(3), \\alpha)$, where $\\overline{\\Psi_^0(M)}$ denotes the C$^*$-álgebra gene\\-rated by the classical pseudodifferential operators of zero order in the manifold $M$ and $\\alpha$ the action of conjugation by the regular representation (translations).
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8

Savin, Anton, Bert-Wolfgang Schulze y Boris Sternin. "On the invariant index formulas for spectral boundary value problems". Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2528/.

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In the paper we study the possibility to represent the index formula for spectral boundary value problems as a sum of two terms, the first one being homotopy invariant of the principal symbol, while the second depends on the conormal symbol of the problem only. The answer is given in analytical, as well as in topological terms.
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9

Pauly, Markus [Verfasser]. "Chern characters for matrix factorizations / Markus Pauly". Mainz : Universitätsbibliothek Mainz, 2019. http://d-nb.info/1187681229/34.

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10

Zhang, Yeping. "Limites adiabatiques, fibrations holomorphes plates et théorème de R.R.G". Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLS264/document.

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Cette thèse est faite de deux parties. La première partie est un article rédigé conjointementavec Martin Puchol et Jialin Zhu. La deuxième partie est une série de résultats obtenus par moi-même liés au théorème de Riemann-Roch-Grothendieck pour les fibrés vectoriels plats. Dans la première partie, nous donnons une preuve analytique d'un résultat décrivant le comportement de la torsion analytique en théorie de de Rham lorsque la variété considérée est séparée en deux par une hypersurface. Plus précisément, nous donnons une formule liant la torsion analytique de la variété entière aux torsions analytiques associées aux variétés à bord avec des conditions limites relative ou absolue le long de l'hypersurface. Dans la deuxième partie de cette thèse, nous raffinons les résultats de Bismut-Lott pour les images directes des fibrés vectoriels plats au cas où le fibré vectoriel plat en question est lui-même la cohomologie holomorphe d'un fibré vectoriel le long d'une fibration plate à fibres complexes. Dans ce contexte, nous donnons une formule de Riemann-Roch-Grothendieck dans laquelle la classe de Todd du fibré tangent relatif apparaît explicitement. En remplaçant les classes de cohomologie par des formes explicites qui les représentent en théorie de Chern-Weil, nous généralisons ainsi des constructions de Bismut-Lott
This thesis consists of two parts. The first part is an article written jointly with Martin Puchol and Jialin Zhu, the second part is a series of results obtained by myself in connection with the Riemann-Roch-Grothendieck theorem for flat vector bundles. In the first part, we give an analytic approach to the behavior of classical Ray-Singer analytic torsion in de Rham theory when a manifold is separated along a hypersurface. More precisely, we give a formula relating the analytic torsion of the full manifold, and the analytic torsion associated with relative or absolute boundary conditions along the hypersurface. In the second part of this thesis, we refine the results of Bismut-Lott on direct images of flat vector bundles to the case where the considered flat vector bundle is itself the fiberwise holomorphic cohomology of a vector bundle along a flat fibration by complex manifolds. In this context, we give a formula of Riemann-Roch-Grothendieck in which the Todd class of the relative holomorphic tangent bundle appears explicitly. By replacing cohomology classes by explicit differential forms in Chern-Weil theory, we extend the constructions of Bismut-Lott in this context
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11

Chen, Qiang [Verfasser], Aldo [Akademischer Betreuer] Boccaccini, Sannakaisa [Akademischer Betreuer] Vietanen y Fernández Begoña [Akademischer Betreuer] Ferrari. "Electrophoretic Deposition of Composite Coatings with Bioactive Character and Drug Delivery Capability / Qiang Chen. Gutachter: Aldo Boccaccini ; Sannakaisa Vietanen ; Begoña Ferrari Fernández". Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2015. http://d-nb.info/1076166725/34.

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12

Raven, Jeffrey Adam. "An equivariant bivariant chern character". 2004. http://etda.libraries.psu.edu/theses/approved/WorldWideIndex/ETD-723/index.html.

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13

Tamme, Georg [Verfasser]. "The relative Chern character and regulators / vorgelegt von Georg Tamme". 2010. http://d-nb.info/1004982054/34.

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14

Upmeier, Markus. "Algebraic Structure and Integration in Generalized Differential Cohomology". Doctoral thesis, 2013. http://hdl.handle.net/11858/00-1735-0000-0022-5E03-9.

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15

Meyer, Marcus [Verfasser]. "Chern characters for topological groups / vorgelegt von Marcus Meyer". 2006. http://d-nb.info/98305200X/34.

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16

Chung, Ching-Yu y 鍾謦宇. "A Study on Unity of Action and Character of Cao Cao and Chen Gong in Beijing Opera". Thesis, 2011. http://ndltd.ncl.edu.tw/handle/68362193429513088037.

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碩士
中國文化大學
戲劇學系
99
A Study on Unity of Action and Character of Cao Cao and Chen Gong in Beijing Opera Abstract This is a study on unity of action and character of historical personage Cao Cao and Chen Gong in create of literature and art. Research basis by theories of poetic truth in Aristotle’s "Poetics". The main subjects are History, Novel and Beijing Opera. Study on unity of action and character of "Records of Three Kingdoms" , "Records of Three Kingdoms" ‘s Notes, "the Romance of Three Kingdoms" and the Plays of Beijing Opera as a Unity Version. Finally, summarization unity of action and character by Li Bao-Chun’s "Cao Cao and Chen Gong". Analysis different Texts offer what kinds of action and character in History,Novel and Beijing Opera by Text analysis. To wish the viewpoint of study and the way can offer a new viewpoint of create and study in future. To think about possible of new create, not to negate any Version. Key Words：Record of Three Kingdoms；the Romance of Three Kingdoms； Cao Cao ；Chen Gong； Portics； unity of action
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17

Chen, Ying-chen y 陳盈臻. "The Interpretation and Research of two female characters from Le Nozze di Figaro and Don Giovanni by Wolfgang Amadeus Mozart / Chen Ying-Chen Soprano Recital". Thesis, 2007. http://ndltd.ncl.edu.tw/handle/24005666053424505636.

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碩士
東吳大學
音樂學系
95
In opera of Mozart, many different kinds of female characters and personalities presented are quite attractive. Some of the female characters are similar in some way and are good for specific singers to interpret. However, if the singer can analyze and compare the similarity beforehand, the style and personality of the characters can be better interpreted. The purpose of this research is to analyze two female characters（Susanna from Le Nozze di Figaro and Zerlina from Don Giovanni）from two operas of Mozart. Two Arias, one from each female character, were chosen to analyze the lyrics, interaction between partner, melodies, and the accompany styles of the symphony.
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18

Ching, Sze-ling y 莊絲菱. "A study of the five-character poems evolved to regulated verse from Southern Qi Liang Chen to the Sui Dynasty". Thesis, 2011. http://ndltd.ncl.edu.tw/handle/50150384470469680522.

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碩士
國立中山大學
中國文學系研究所
100
Five-character poetry is an important poems form in Chinese Literature, which have five-character-four-sentences, six-sentences, eight-sentences, ten-sentences,twelve-sentences or even longer. Although the regulated verse form got into matured in Tang Dynasty,but it was brewing in the Southern Qi Liang.Start from Southern Song Dynasty,five-character poetry was gradually appeared into a large number,especially of the five-character-eight-sentences poetry.However, among the academia only focus on researching poetry rhythm and the antithesis,did not put efford into research the structure of five-character poem.This thesis focuses on this phenomenon,based on the number of five-character poems and the poems structure,try to research the process of five-character poems evolve into regulated verse.
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19

Ouyang, Yue y 歐陽宇. "A Study on the Characters of the IPO Investors of Tai-Chen 01-The Call Warrant which was issued by Taiwan Securities Co., Ltd". Thesis, 1999. http://ndltd.ncl.edu.tw/handle/83482290132343412921.

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