Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey

Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey

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 s...

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Bibliographic Details
Main Author: Yvette Kosmann-Schwarzbach
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Poisson geometry
Poisson cohomology
modular classes
twisted Poisson structures
Lie algebroids
Gerstenhaber algebras
Lie algebroid cohomology
triangular r-matrices
quasi-Frobenius algebras
pure spinors
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.005

Internet

http://dx.doi.org/10.3842/SIGMA.2008.005

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