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arxiv: 1010.4807 · v2 · pith:OD4XCWNQnew · submitted 2010-10-22 · 🧮 math.QA · math.KT

Hochschild (co)homology of the Dunkl operator quantization of Z₂-singularity

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

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