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On categories ${\mathcal{O}}$ for quantized symplectic resolutions.
- Source :
-
Compositio Mathematica . Dec2017, Vol. 153 Issue 12, p2445-2481. 37p. - Publication Year :
- 2017
-
Abstract
- In this paper we study categories ${\mathcal{O}}$ over quantizations of symplectic resolutions admitting Hamiltonian tori actions with finitely many fixed points. In this generality, these categories were introduced by Braden et al. We establish a family of standardly stratified structures (in the sense of the author and Webster) on these categories ${\mathcal{O}}$. We use these structures to study shuffling functors of Braden et al. (called cross-walling functors in this paper). Most importantly, we prove that all cross-walling functors are derived equivalences that define an action of the Deligne groupoid of a suitable real hyperplane arrangement. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0010437X
- Volume :
- 153
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Compositio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 125110783
- Full Text :
- https://doi.org/10.1112/S0010437X17007382