Journal article
Compatibility of t-structures for quantum symplectic resolutions
- Abstract:
- Let W be a smooth complex quasiprojective variety with the action of a connected reductive group G. Adapting the stratification approach of Teleman to a microlocal context, we prove a vanishing theorem for the functor of G-invariant sections---i.e., of quantum Hamiltonian reduction---for G-equivariant twisted D-modules on W. As a consequence, when W is affine we establish an effective combinatorial criterion for exactness of the global sections functors of microlocalization theory. When combined with our earlier derived equivalence results, this gives precise criteria for "microlocalization of representation categories."
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Author's original, pdf, 576.1KB, Terms of use)
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- Publisher copy:
- 10.1215/00127094-3619684
Authors
- Publisher:
- Duke University Press
- Journal:
- Duke Mathematical Journal More from this journal
- Volume:
- 165
- Issue:
- 13
- Pages:
- 2529-2585
- Publication date:
- 2016-06-23
- Acceptance date:
- 2015-10-16
- DOI:
- EISSN:
-
1547-7398
- ISSN:
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0012-7094
- Keywords:
- Pubs id:
-
pubs:445627
- UUID:
-
uuid:129a301c-6162-49e3-b686-a001fea83e3e
- Local pid:
-
pubs:445627
- Source identifiers:
-
445627
- Deposit date:
-
2016-07-08
- ARK identifier:
Terms of use
- Copyright holder:
- Duke Mathematical Journal
- Copyright date:
- 2016
- Notes:
-
This is an
pre-print version of a journal article published by Duke University Press in Duke Mathematical Journal on 2016-06-23, available online: http://dx.doi.org/10.1215/00127094-3619684
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