Lectures on the Geometry of Poisson Manifolds is popular PDF and ePub book, written by Izu Vaisman in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lectures on the Geometry of Poisson Manifolds can be Read Online from any device for your convenience.
Lectures on the Geometry of Poisson Manifolds Book PDF Summary
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.
Detail Book of Lectures on the Geometry of Poisson Manifolds PDF
- Author : Izu Vaisman
- Release : 06 December 2012
- Publisher : Birkhäuser
- ISBN : 9783034884952
- Genre : Mathematics
- Total Page : 210 pages
- Language : English
- PDF File Size : 19,9 Mb
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