English

Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularity

Quantum Algebra 2012-04-03 v2 K-Theory and Homology

Abstract

We study Hochschild (co)homology groups of the Dunkl operator quantization of Z2\Z_2-singularity constructed by Halbout and Tang. Further, we study traces on this algebra and prove a local algebraic index formula.

Keywords

Cite

@article{arxiv.1010.4807,
  title  = {Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularity},
  author = {Ajay Ramadoss and Xiang Tang},
  journal= {arXiv preprint arXiv:1010.4807},
  year   = {2012}
}

Comments

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