The Breadth of Symplectic and Poisson Geometry
Author: Birkhauser Verlag AG
Publisher:
Published: 2005
Total Pages:
ISBN-13: 9783764335656
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The Breadth of Symplectic and Poisson Geometry
Author: Jerrold E. Marsden
Publisher: Springer Science & Business Media
Published: 2007-07-03
Total Pages: 666
ISBN-13: 0817644199
DOWNLOAD EBOOK →* 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
Poisson Geometry in Mathematics and Physics
Author: Giuseppe Dito
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 330
ISBN-13: 0821844237
DOWNLOAD EBOOK →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
Author: Marius Crainic
Publisher: American Mathematical Soc.
Published: 2021-10-14
Total Pages: 479
ISBN-13: 1470466678
DOWNLOAD EBOOK →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
Symplectic and Poisson Geometry on Loop Spaces of Smooth Manifolds and Integrable Equations
Author: O. I. Mokhov
Publisher:
Published: 2008-11
Total Pages: 224
ISBN-13: 9781904868729
DOWNLOAD EBOOK →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.
Lectures on Poisson Geometry
Author: Marius Crainic
Publisher:
Published: 1900
Total Pages:
ISBN-13: 9781470466664
DOWNLOAD EBOOK →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.
Higher Structures in Geometry and Physics
Author: Alberto S. Cattaneo
Publisher: Springer Science & Business Media
Published: 2010-11-25
Total Pages: 371
ISBN-13: 081764735X
DOWNLOAD EBOOK →This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures.
Introduction to Symplectic Geometry
Author: Jean-Louis Koszul
Publisher: Springer
Published: 2019-04-15
Total Pages: 121
ISBN-13: 9811339872
DOWNLOAD EBOOK →This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.This book is also inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau's tools related to the non-equivariant case of co-adjoint action on Souriau’s moment map through Souriau’s Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric.
Poisson Geometry, Deformation Quantisation and Group Representations
Author: Simone Gutt
Publisher: Cambridge University Press
Published: 2005-06-21
Total Pages: 380
ISBN-13: 9780521615051
DOWNLOAD EBOOK →An accessible introduction to Poisson geometry suitable for graduate students.
Symplectic Geometry
Author: Helmut Hofer
Publisher: Springer Nature
Published: 2022-12-05
Total Pages: 1158
ISBN-13: 3031191110
DOWNLOAD EBOOK →Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
