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The nonequivariant coherent-constructible correspondence for toric stacks (1610.03214v4)
Published 11 Oct 2016 in math.SG and math.AG
Abstract: The nonequivariant coherent-costructible correspondence is a microlocal-geometric interpretation of homological mirror symmetry for toric varieties conjectured by Fang-Liu-Treumann-Zaslow. We prove a generalization of this conjecture for a class of toric stacks which includes any toric varieties and toric orbifolds. Our proof is based on gluing descriptions of $\infty$-categories of both sides.