Hochschild cohomology of torus-equivariant D-modules

@article{Koppensteiner2015HochschildCO,
  title={Hochschild cohomology of torus-equivariant D-modules},
  author={Clemens Koppensteiner},
  journal={arXiv: Algebraic Geometry},
  year={2015}
}
We discuss the Hochschild cohomology of the category of D-modules associated to an algebraic stack. In particular we describe the Hochschild cohomology of the category of torus-equivariant D-modules as the cohomology of a D-module on the loop space of the quotient stack. Finally, we give an approach for understanding the Hochschild cohomology of D-modules on general stacks via a relative compactification of the diagonal. This work is motivated by a desire to understand the support theory (in… Expand
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References

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