Lectures on Poisson geometry

著者

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

書誌事項

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.

注記

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

内容説明・目次

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BC1829735X
• ISBN:
  • 9781470466671
• LCCN: 2021012882
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence
• ページ数/冊数: xix, 479 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA665
  • DC23 : 516.3/6
  • DC23 : 516.36
• 件名:
  • LCSH : Symplectic geometry
  • LCSH : Poisson brackets
  • LCSH : Poisson manifolds
  • LCSH : Poisson algebras
  • LCSH : Groupoids
• 親書誌ID:
  • BA20542214