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

preprint2010arXivOpen access

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

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Hochschild (co)homology of the Dunkl operator quantization of Z2\Z_2Z2​-singularity

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