Lagrangian cobordism and Fukaya categories
Lagrangian cobordism and Fukaya categories
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拉格朗日配边和深谷类别
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
O. Cornea
中科院分区：
文献类型：
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作者：
P. Biran;O. Cornea
给定一个辛流形M，我们考虑一个范畴，其对象为M的拉格朗日子流形的有限序族（受某些附加约束），并与它们相关的态射拉格朗日配边。我们构造了一个函子，映射到一个变种的派生福谷类别的M的方式，考虑到三角结构的后者。
Given a symplectic manifold M we consider a category with objects finite ordered families of Lagrangian submanifolds of M (subject to certain additional constraints) and with morphisms Lagrangian cobordisms relating them. We construct a functor that maps this category to a variant of the derived Fukaya category of M in a way that takes into account the triangulated structure of the latter.