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.

Several mistakes, now rectified