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Relevant bibliographies by topics / Symplectic and Poisson geometry

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Dissertations / Theses

Academic literature on the topic 'Symplectic and Poisson geometry'

Author: Grafiati

Published: 11 March 2023

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Dissertations / Theses on the topic "Symplectic and Poisson geometry"

1

Martino, Maurizio. "Symplectic reflection algebras and Poisson geometry." Thesis, University of Glasgow, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.426614.

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2

Remsing, Claidiu Cristian. "Tangentially symplectic foliations." Thesis, Rhodes University, 1994. http://hdl.handle.net/10962/d1005233.

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This thesis is concerned principally with tangential geometry and the applications of these concepts to tangentially symplectic foliations. The subject of tangential geometry is still at an elementary stage. The author here systematises current concepts and results and extends them, leading to the definition of vertical connections and vertical G-structures. Tangentially symplectic foliations are then characterised in terms of vertical symplectic forms. Some significant particular cases are discussed.

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3

Kirchhoff-Lukat, Charlotte Sophie. "Aspects of generalized geometry : branes with boundary, blow-ups, brackets and bundles." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/283007.

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This thesis explores aspects of generalized geometry, a geometric framework introduced by Hitchin and Gualtieri in the early 2000s. In the first part, we introduce a new class of submanifolds in stable generalized complex manifolds, so-called Lagrangian branes with boundary. We establish a correspondence between stable generalized complex geometry and log symplectic geometry, which allows us to prove results on local neighbourhoods and small deformations of this new type of submanifold. We further investigate Lefschetz thimbles in stable generalized complex Lefschetz fibrations and show that L

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4

Costa, Paulo Henrique Pereira da 1983. "Difusões em variedades de poisson." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306283.

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Orientador: Paulo Regis Caron Ruffino<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-13T23:01:19Z (GMT). No. of bitstreams: 1 Costa_PauloHenriquePereirada_M.pdf: 875708 bytes, checksum: 8862a1813f1bb85b5d0269462a80501e (MD5) Previous issue date: 2009<br>Resumo: O objetivo desse trabalho é estudar as equações de Hamilton no contexto estocástico. Sendo necessário para tal um pouco de conhecimento a cerca dos seguintes assuntos: cálculo estocástico, geometria de segunda ordem, est

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5

Van, De Ven Christiaan Jozef Farielda. "Quantum Systems and their Classical Limit A C*- Algebraic Approach." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/324358.

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In this thesis we develop a mathematically rigorous framework of the so-called ''classical limit'' of quantum systems and their semi-classical properties. Our methods are based on the theory of strict, also called C*- algebraic deformation quantization. Since this C*-algebraic approach encapsulates both quantum as classical theory in one single framework, it provides, in particular, an excellent setting for studying natural emergent phenomena like spontaneous symmetry breaking (SSB) and phase transitions typically showing up in the classical limit of quantum theories. To this end, several tech

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6

Martin, Shaun K. "Symplectic geometry and gauge theory." Thesis, University of Oxford, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389209.

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7

Smith, Ivan. "Symplectic geometry of Lefschetz fibrations." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299234.

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8

Boalch, Philip Paul. "Symplectic geometry and isomonodromic deformations." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301848.

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9

at, Andreas Cap@esi ac. "Equivariant Symplectic Geometry of Cotangent Bundles." Moscow Math. J. 1, No.2 (2001) 287-299, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi996.ps.

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10

Rødland, Lukas. "Symplectic geometry and Calogero-Moser systems." Thesis, Uppsala universitet, Teoretisk fysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-256742.

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We introduce some basic concepts from symplectic geometry, classical mechanics and integrable systems. We use this theory to show that the rational and the trigonometric Calogero-Moser systems, that is the Hamiltonian systems with Hamiltonian <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?H=%5Csum_%7Bi=1%7D%5En%20p_i%5E2-%5Csum_%7Bj%5Cneq%20i%7D%20%5Cfrac%7B1%7D%7B(x_i-x_j)%5E2%7D%20" /> and <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?H=%5Csum_i%20p_%7Bi%7D+%5Csum_%7Bi%5Cneq%20j%7D%20%5Cfrac%7B1%7D%7B4%20%5Csin%20%5E2((x_%7Bi%7D-x_%7Bj%7D)/2)%7D" /> respectively are inte

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