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OverviewFull Product DetailsAuthor: Marius Crainic , Rui Loja Fernandes , Ioan MarcutPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.894kg ISBN: 9781470466671ISBN 10: 1470466678 Pages: 479 Publication Date: 30 December 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsBasic concepts: Poisson brackets Poisson bivectors Local structure of Poisson manifolds Notes and references for Part 1 Poisson geometry around leaves: Symplectic leaves and the symplectic foliation Poisson transversals Symplectic realizations Dirac geometry Submanifolds in Poisson geometry Notes and references for Part 2 Global aspects: Poisson cohomology Poisson homotopy Contravariant geometry and connections Notes and references for Part 3 Symplectic groupoids: Complete symplectic realizations A crash course on Lie groupoids Symplectic groupoids Notes and references for Part 4 Appendices: Lie groups Symplectic structures Foliations Groupoids: Conventions and choices Bibliography IndexReviewsThis 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 "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" Author InformationMarius Crainic, Utrecht University, The Netherlands. Rui Loja Fernandes, University of Illinois at Urbana-Champaign, IL. Ioan Marcut, Radboud University, Nijmegen, The Netherlands. Tab Content 6Author Website:Countries AvailableAll regions |
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