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Zbl 1147.53067
Kosmann-Schwarzbach, Yvette
Poisson manifolds, Lie algebroids, modular classes: a survey.
(English)
[J] SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 005, 30 p., electronic only (2008). ISSN 1815-0659/e

From the author's summary: ``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.''
[Luen-Chau Li (University Park)]
MSC 2000:
*53D17 Poisson manifolds
58H05 Pseudogroups on manifolds

Keywords: Poisson geometry; Poisson cohomology; modular classes; twisted Poisson structures; Lie algebroids; Gerstenhaber algebras; Lie algebroid cohomology; triangular r-matrices; Poisson-Nijenhuis manifolds; quasi-Frobenius algebras; pure spinors

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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