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Poisson Geometry In Mathematics And Physics


Poisson Geometry In Mathematics And Physics
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Poisson Geometry In Mathematics And Physics


Poisson Geometry In Mathematics And Physics
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Author : Giuseppe Dito
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Poisson Geometry In Mathematics And Physics written by Giuseppe Dito and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.



Quantum Algebras And Poisson Geometry In Mathematical Physics


Quantum Algebras And Poisson Geometry In Mathematical Physics
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Author : Mikhail Vladimirovich Karasev
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Quantum Algebras And Poisson Geometry In Mathematical Physics written by Mikhail Vladimirovich Karasev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.


This collection presents new and interesting applications of Poisson geometry to some fundamental well-known problems in mathematical physics. In addition to advanced Poisson geometry, the methods used by the authors include unexpected algebras with non-Lie commutation relations, nontrivial (quantum) Kahlerian structures of hypergeometric type, dynamical systems theory, semiclassical asymptotics, and more. The volume is suitable for graduate students and researchers interested in mathematical physics. Other AMS publications by M. Karasev include ""Nonlinear Poisson Brackets""; ""Geometry and Quantization"", ""Coherent Transform, Quantization, and Poisson Geometry"", and ""Asymptotic Methods for Wave and Quantum Problems"".



Poisson 2012 Poisson Geometry In Mathematics And Physics


Poisson 2012 Poisson Geometry In Mathematics And Physics
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Author :
language : en
Publisher:
Release Date : 2014

Poisson 2012 Poisson Geometry In Mathematics And Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.




The Breadth Of Symplectic And Poisson Geometry


The Breadth Of Symplectic And Poisson Geometry
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Author : Jerrold E. Marsden
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-03

The Breadth Of Symplectic And Poisson Geometry written by Jerrold E. Marsden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-03 with Mathematics categories.


* The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics



Advances In Poisson Geometry


Advances In Poisson Geometry
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Author : Mario Garcia-Fernandez
language : en
Publisher: Springer Nature
Release Date : 2025-08-24

Advances In Poisson Geometry written by Mario Garcia-Fernandez and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-24 with Mathematics categories.


This book presents recent advances in topics related to Poisson geometry originating from lectures given at the “Poisson School” held in 2022 at the CRM in Barcelona. The purpose is to give both an introduction to this active field of research as well as highlight new trends in related topics. The texts cover both classical results, known to experts in the field, as well as recent and previously unpublished mathematical results. Graduate students and early-stage researchers with basic knowledge in differential and symplectic geometry, together with established researchers that are keen to dive into this rapidly growing field of research, will find this book a useful resource.



Foliations Geometry And Topology


Foliations Geometry And Topology
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Author : Nicolau Corção Saldanha
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Foliations Geometry And Topology written by Nicolau Corção Saldanha and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


Presents the proceedings of the conference on Foliations, Geometry, and Topology, held August 6-10, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers focus on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces.



Coherent Transform Quantization And Poisson Geometry


Coherent Transform Quantization And Poisson Geometry
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Author : Mikhail Vladimirovich Karasev
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Coherent Transform Quantization And Poisson Geometry written by Mikhail Vladimirovich Karasev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


Three papers continue and substantially develop the authors' previous results about nonlinear Poisson brackets, Hamilton dynamics, and quantization, essentially summarizing some new ideas and approaches suggested during a research seminar over the previous five years at the Moscow Institute of Electronics and Mathematics. The papers are Non-Lie permutation representations, coherent states and quantum embedding; Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds; and Infinitesimal Poisson cohomology. No index. Annotation copyrighted by Book News, Inc., Portland, OR



Symplectic And Poisson Geometry On Loop Spaces Of Smooth Manifolds And Integrable Equations


Symplectic And Poisson Geometry On Loop Spaces Of Smooth Manifolds And Integrable Equations
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Author : O. I. Mokhov
language : en
Publisher:
Release Date : 2008-11

Symplectic And Poisson Geometry On Loop Spaces Of Smooth Manifolds And Integrable Equations written by O. I. Mokhov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11 with Mathematics categories.


This review presents the differential-geometric theory of homogeneous structures (mainly Poisson and symplectic structures)on loop spaces of smooth manifolds, their natural generalizations and applications in mathematical physics and field theory.



Symplectic Poisson And Noncommutative Geometry


Symplectic Poisson And Noncommutative Geometry
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Author : Tohru Eguchi
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-25

Symplectic Poisson And Noncommutative Geometry written by Tohru Eguchi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-25 with Mathematics categories.


This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.



Lie Theory And Its Applications In Physics


Lie Theory And Its Applications In Physics
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Author : Vladimir Dobrev
language : en
Publisher: Springer
Release Date : 2015-01-26

Lie Theory And Its Applications In Physics written by Vladimir Dobrev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-26 with Mathematics categories.


Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries are meant in their widest sense, i.e., representation theory, algebraic geometry, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear PDE, special functions, and others. Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field. Samples of these fresh trends are presented in this volume, based on contributions from the Workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2013. This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists and researchers in the field of Lie Theory.