Lectures On Poisson Geometry
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Lectures on Poisson Geometry
Author | : Marius Crainic,Rui Loja Fernandes,Ioan Mărcuţ |
Publsiher | : American Mathematical Soc. |
Total Pages | : 479 |
Release | : 2021-10-14 |
Genre | : Education |
ISBN | : 9781470466671 |
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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 the Geometry of Poisson Manifolds
Author | : Izu Vaisman |
Publsiher | : Birkhäuser |
Total Pages | : 210 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034884952 |
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This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable and symplectic manifolds. The aim of the book is to provide the reader with a monograph that enables him to study systematically basic and advanced material on the recently developed theory of Poisson manifolds, and that also offers ready access to bibliographical references for the continuation of his study. Until now, most of this material was dispersed in research papers published in many journals and languages. The main subjects treated are the Schouten-Nijenhuis bracket; the generalized Frobenius theorem; the basics of Poisson manifolds; Poisson calculus and cohomology; quantization; Poisson morphisms and reduction; realizations of Poisson manifolds by symplectic manifolds and by symplectic groupoids and Poisson-Lie groups. The book unifies terminology and notation. It also reports on some original developments stemming from the author's work, including new results on Poisson cohomology and geometric quantization, cofoliations and biinvariant Poisson structures on Lie groups.
Lectures on Poisson Geometry
Author | : Marius Crainic,Rui Loja Fernandes,Ioan Mărcuț |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1900 |
Genre | : Electronic books |
ISBN | : 147046666X |
Download Lectures on Poisson Geometry Book in PDF, Epub and Kindle
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 Poisson Geometry
Author | : Marius Crainic,Rui Loja Fernandes,Ioan Mărcuţ |
Publsiher | : American Mathematical Soc. |
Total Pages | : 479 |
Release | : 2021-09-14 |
Genre | : Education |
ISBN | : 9781470464301 |
Download Lectures on Poisson Geometry Book in PDF, Epub and Kindle
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
Poisson Geometry in Mathematics and Physics
Author | : Giuseppe Dito,Jiang-Hua Lu,Yoshiaki Maeda |
Publsiher | : American Mathematical Soc. |
Total Pages | : 330 |
Release | : 2008 |
Genre | : Geometric quantization |
ISBN | : 9780821844236 |
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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 Symplectic and Poisson Geometry
Author | : Izu Vaisman |
Publsiher | : Unknown |
Total Pages | : 96 |
Release | : 2000 |
Genre | : Differentiable manifolds |
ISBN | : UOM:39015052046391 |
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Lectures on the Poisson Process
Author | : Günter Last,Mathew Penrose |
Publsiher | : Cambridge University Press |
Total Pages | : 315 |
Release | : 2017-10-26 |
Genre | : Mathematics |
ISBN | : 9781107088016 |
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A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.
Poisson Geometry Deformation Quantisation and Group Representations
Author | : Simone Gutt,John Howard Rawnsley,Daniel Sternheimer,Savilian Professor of Geometry N J Hitchin,Rawnsley John |
Publsiher | : Unknown |
Total Pages | : 370 |
Release | : 2014-05-14 |
Genre | : MATHEMATICS |
ISBN | : 1107362652 |
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An accessible introduction to Poisson geometry suitable for graduate students.