1. Noncommutative Poisson structures on orbifolds.
- Author
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Gilles Halbout and Xiang Tang
- Subjects
- *
NONCOMMUTATIVE algebras , *ORBIFOLDS , *HOMOLOGY theory , *FINITE groups , *GEOMETRIC analysis , *MATHEMATICAL analysis - Abstract
In this paper, we compute the Gerstenhaber bracket on the Hoch-schild cohomology of $C^infty (M)rtimes G$ for a finite group $G$ acting on a compact manifold $M$. Using this computation, we obtain geometric descriptions for all noncommutative Poisson structures on $C^infty (M)rtimes G$ when $M$ is a symplectic manifold. We also discuss examples of deformation quantizations of these noncommutative Poisson structures. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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