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.

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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

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