NDLI: On categories for quantized symplectic resolutions

Content Provider	Scilit
Author	Losev, Ivan
Copyright Year	2017
Description	Journal: Compositio Mathematica 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.
Ending Page	2481
Starting Page	2445
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x17007382
Journal	Compositio Mathematica
Issue Number	12
Volume Number	153
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2017-09-07
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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On categories for quantized symplectic resolutions