Non-commutative Poisson Structures on quantum torus orbifolds

Abstract

We study the Hochschild cohomology and the Gerstenhaber algebra structure on the algebraic non-commutative torus/quantum torus orbifolds resulting by the action of finite subgroups of $S{L}_2(\mathbb{Z})$. We also examine the Poisson structures and compute the Poisson cohomology.

arXiv commentSeveral mistakes, now rectified

References in corpus (3)

• Deformation quantization of Poisson manifolds, I
• Crossed-products of Calabi-Yau algebras by finite groups
• Hochschild and cyclic homology of the crossed product of algebraic irrational rotational algebra by finite subgraoups of $SL(2,\mathbb{Z})$