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Regular version of the site

Article

Wall-crossing functors for quantized symplectic resolutions: perversity and partial Ringel dualities

Pure and Applied Mathematics Quarterly. 2017. Vol. 13. No. 2. P. 247-289.
Losev Ivan.

In this paper we study wall-crossing functors between
categories of modules over quantizations of symplectic resolutions.
We prove that wall-crossing functors through faces are perverse
equivalences and use this to verify an Etingof type conjecture
for quantizations of Nakajima quiver varieties associated to affine
quivers. In the case when there is a Hamiltonian torus action on
the resolution with finitely many fixed points so that it makes sense
to speak about categories O over quantizations, we introduce new
standardly stratified structures on these categories O and relate
the wall-crossing functors to the Ringel duality functors associated
to these standardly stratified structures.