arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1610.03214math.SGmath.AG
收藏

复曲面叠加的非等变相干可构造对应

The nonequivariant coherent-constructible correspondence for toric stacks

Tatsuki Kuwagaki

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑