多面体与多面体
Polytopes and Skeleta
摘要：
对于Z^（n+1）中的每个单纯自反多面体，我们附加一个n维空间λ ^ \infty。它是作者方和刘的工作中考虑的圆锥拉格朗日的勒让德边界，因此它带有一个被称为“柏原-夏皮拉层”的dg范畴层。“我们讨论了Lambda^ \infty和Kashiwara-Schapira层在同调镜像对称中所起作用的一些结构和结果。
英文摘要：
To each simplicial reflexive polytope in Z^(n+1), we attach an n-dimensional space, Lambda^\infty. It is the Legendrian boundary of a conic Lagrangian considered in work of the authors, Fang and Liu, and because of this it carries a sheaf of dg categories called the "Kashiwara-Schapira sheaf." We discuss some conjectures and results about the role that Lambda^\infty and the Kashiwara-Schapira sheaf should play in homological mirror symmetry.
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