Lectures On Poisson Geometry

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Lectures On Poisson Geometry

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Author : Marius Crainic
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-09-14

Lectures On Poisson Geometry written by Marius Crainic 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 2021-09-14 with Education categories.

This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto

Lectures On Poisson Geometry

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Author : Marius Crainic
language : en
Publisher:
Release Date : 1900

Lectures On Poisson Geometry written by Marius Crainic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with Electronic books categories.

This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way.--Alan Weinstein, University of California at BerkeleyThis well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics.

Lectures On The Geometry Of Poisson Manifolds

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Author : Izu Vaisman
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-03-01

Lectures On The Geometry Of Poisson Manifolds written by Izu Vaisman 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 1994-03-01 with Mathematics categories.

Everybody having even the slightest interest in analytical mechanics remembers having met there the Poisson bracket of two functions of 2n variables (pi, qi) f g (8f8g 8 8 ) (0.1) {f, g} = L... [ji - [ji; =1 p, q q p, and the fundamental role it plays in that field. In modern works, this bracket is derived from a symplectic structure, and it appears as one of the main in- gredients of symplectic manifolds. In fact, it can even be taken as the defining clement of the structure (e.g., [TIl]). But, the study of some mechanical sys- tems, particularly systems with symmetry groups or constraints, may lead to more general Poisson brackets. Therefore, it was natural to define a mathematical structure where the notion of a Poisson bracket would be the primary notion of the theory, and, from this viewpoint, such a theory has been developed since the early 19708, by A. Lichnerowicz, A. Weinstein, and many other authors (see the references at the end of the book). But, it has been remarked by Weinstein [We3] that, in fact, the theory can be traced back to S. Lie himself [Lie].

Lectures On Poisson Geometry

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Author :
language : en
Publisher:
Release Date : 2011

Lectures On Poisson Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Poisson manifolds categories.

Lectures On Symplectic And Poisson Geometry

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Author : Izu Vaisman
language : en
Publisher:
Release Date : 2000

Lectures On Symplectic And Poisson Geometry written by Izu Vaisman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Differentiable manifolds categories.

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.

Lectures On Poisson Geometry

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Author : Tudor S. Ratiu
language : en
Publisher:
Release Date : 2010

Lectures On Poisson Geometry written by Tudor S. Ratiu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Geometry, Differential categories.

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.

Lectures On Deformation Quantisation From Moyal Product To Kontsevich S Formality Theorem

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Author : Georgy Igorevich Sharygin
language : en
Publisher: World Scientific
Release Date : 2025-05-20

Lectures On Deformation Quantisation From Moyal Product To Kontsevich S Formality Theorem written by Georgy Igorevich Sharygin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-20 with Science categories.

Principles of classical Hamiltonian mechanics say that the evolution of a dynamical system is determined by the Poisson bracket of observable functions with the given Hamiltonian function of the system. In Quantum Mechanics, these principles are modified so that the algebra of observable functions should be replaced by a noncommutative algebra of operators and the Poisson bracket by their commutator so that the canonical commutation relations hold. Thus, working with quantum systems, we must determine the 'quantisation' of our observables, i.e. to choose a noncommutative algebra whose elements would play the role of the observables. With some modifications, this question is the main content of the Deformation Quantisation problem formulated in 1978 by Flato and others.This book is based on the course that the author taught in the Fall semester of 2019 at Peking University. The main purpose of that course and of this book is to acquaint the reader with the vast scope of ideas related to the Deformation Quantisation of Poisson manifolds. The book begins with Quantum Mechanics and Moyal product formula and covers the three main constructions that solve the Deformation Quantisation problem: Lecomte and de Wilde deformation of symplectic manifolds, Fedosov's Quantisation theory and Kontsevich's formality theorem. In the appendices, the Tamarkin's proof of formality theorem is outlined.The book is written in a reader-friendly manner and is as self-contained as possible. It includes several sets of problems and exercises that will help the reader to master the material.

Lectures On The Theory Of Water Waves

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Author : Thomas J. Bridges
language : en
Publisher: Cambridge University Press
Release Date : 2016-02-04

Lectures On The Theory Of Water Waves written by Thomas J. Bridges 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 2016-02-04 with Mathematics categories.

A range of experts contribute introductory-level lectures on active topics in the theory of water waves.