复曲面叠加的非等变相干可构造对应
The nonequivariant coherent-constructible correspondence for toric stacks
摘要:
非等变相干可构对应是Fang-Liu-Treumann-Zaslow对环面簇同调镜像对称性的微局域几何解释。我们证明了这一猜想的推广一类复曲面栈,其中包括任何复曲面品种和复曲面orbifolds。我们的证明是基于双方的$\infty$范畴的胶合描述。
英文摘要:
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.
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