Holomorphic disks and topological invariants for closed three-manifolds

Holomorphic disks and topological invariants for closed three-manifolds
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闭三流形的全纯盘和拓扑不变量

DOI:
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发表时间:
2001
期刊:
影响因子:
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通讯作者:
Z. Szabó
Z. Szabó
中科院分区:
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文献类型:
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作者:
P. Ozsváth;Z. Szabó

文献摘要

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本文的目的是引入具有刺形结构的闭定向三维流形Y的某些拓扑不变量。给定Y=U0o UΣU1的Heegaard分裂,这些理论是Σ相对于与U0和U1相关的某些全实子空间的g重对称乘积的拉格朗日Floer同调的变体.
The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spiny structure. Given a Heegaard splitting of Y = U 0o U Σ U 1 , these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Σ relative to certain totally real subspaces associated to U 0 and U 1 .