Journal article
Hochschild cohomology of torus equivariant D-modules
- 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 [6]) of D-modules on stacks.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 324.4KB, Terms of use)
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- Publisher copy:
- 10.1093/imrn/rny206
Authors
- Publisher:
- Oxford University Press
- Journal:
- International Mathematics Research Notices More from this journal
- Volume:
- 2020
- Issue:
- 19
- Pages:
- 6391–6420
- Publication date:
- 2018-08-29
- Acceptance date:
- 2018-08-08
- DOI:
- EISSN:
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1687-0247
- ISSN:
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1073-7928
- Language:
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English
- Pubs id:
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pubs:1037503
- UUID:
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uuid:6ef8316a-0d6c-4a2e-bc88-233797ca6524
- Local pid:
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pubs:1037503
- Source identifiers:
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1037503
- Deposit date:
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2019-08-09
Terms of use
- Copyright holder:
- Clemens Koppensteiner
- Copyright date:
- 2018
- Rights statement:
- © The Author 2018. Published by Oxford University Press. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Oxford University Press at: https://doi.org/10.1093/imrn/rny206
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