Lectures on Poisson geometry

Author(s)

• Crainic, Marius
• Fernandes, Rui Loja
• Mărcuț, Ioan

Bibliographic Information

Lectures on Poisson geometry

Marius Crainic, Rui Loja Fernandes, Ioan Mărcuț

（Graduate studies in mathematics, 217）

MAA Press, an imprint of the American Mathematical Society, c2021

• : pbk.

Note

Includes bibliographical references (p. 463-471) and index

Description and Table of Contents

Table of Contents

Basic 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 Index

by "Nielsen BookData"

Details

• NCID: BC1829735X
• ISBN:
  • 9781470466671
• LCCN: 2021012882
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence
• Pages/Volumes: xix, 479 p.
• Size: 26 cm
• Classification:
  • LCC : QA665
  • DC23 : 516.3/6
  • DC23 : 516.36
• Subject Headings:
  • LCSH : Symplectic geometry
  • LCSH : Poisson brackets
  • LCSH : Poisson manifolds
  • LCSH : Poisson algebras
  • LCSH : Groupoids
• Parent Bibliography ID:
  • BA20542214