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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 005, 30 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.005 (Mi sigma258) 		 
This article is cited in 32 scientific papers (total in 32 papers)

Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey

Yvette Kosmann-Schwarzbach

Centre de Mathématiques Laurent Schwartz, Ècole Polytechnique, 91128 Palaiseau, France
Full-text PDF (478 kB) Citations (32)
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DOI: https://doi.org/10.3842/SIGMA.2008.005
Abstract: After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of Poisson–Nijenhuis manifolds. A review of the spinor approach to the modular class concludes the paper.
Keywords: Poisson geometry; Poisson cohomology; modular classes; twisted Poisson structures; Lie algebroids; Gerstenhaber algebras; Lie algebroid cohomology; triangular $r$-matrices; quasi-Frobenius algebras; pure spinors.
Received: August 31, 2007; in final form January 2, 2008; Published online January 16, 2008
Bibliographic databases:
Document Type: Article
MSC: 17B70; 17B56; 17B66; 53C15; 58A10; 15A66; 17B81; 17-02; 53-02; 58-02
Language: English
Citation: Yvette Kosmann-Schwarzbach, “Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey”, SIGMA, 4 (2008), 005, 30 pp.
Citation in format AMSBIB
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\by Yvette Kosmann-Schwarzbach
\paper Poisson Manifolds, Lie Algebroids, Modular Classes: a~Survey
\jour SIGMA
\yr 2008
\vol 4
\papernumber 005
\totalpages 30
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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