Hochschild cohomology of torus-equivariant D-modules

Author: 

Koppensteiner, C

Publication Date: 

29 August 2018

Journal: 

International Mathematics Research Notices

Last Updated: 

2020-11-10T02:15:57.17+00:00

DOI: 

10.1093/imrn/rny206

abstract: 

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 the sense of Benson-Iyengar-Krause) of
D-modules on stacks.

Symplectic id: 

1037503

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article