Hochschild (co)homology of the Dunkl operator quantization of ${\mathbb{Z}}_2$-singularity

Abstract

We study Hochschild (co)homology groups of the Dunkl operator quantization of ${\mathbb{Z}}_2$-singularity constructed by Halbout and Tang. Further, we study traces on this algebra and prove a local algebraic index formula.

arXiv comment26 pages. Comments and suggestions welcome. Some typos and other minor mistakes corrected

References in corpus (2)

• Toeplitz operators on symplectic manifolds
• Hochschild cohomology of the Weyl algebra and traces in deformation quantization