Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey

Details Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey

2007-10-16

arxiv.org/abs/0710.3098v3

SIGMA 4 (2008), 005, 30 pages

Mathematics

Symplectic Geometry

Dedicated to the memory of Thomas Branson. This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference i

Scientific paper

10.3842/SIGMA.2008.005

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.

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