On categories for quantized symplectic resolutions
2017 ◽
Vol 153
(12)
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pp. 2445-2481
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Keyword(s):
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.
2017 ◽
Vol 5
(2)
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pp. 101-120
2018 ◽
Vol 2018
(-)
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Keyword(s):