通过Kuranishi结构的Gromov-Witten理论

Virtual Fundamental Cycles in Symplectic Topology Pub Date : 2017-01-26 DOI:10.1090/surv/237/02

M. Tehrani, K. Fukaya

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引用次数: 15

摘要

在这篇解释性的手稿中，我们回顾了在闭黎曼曲面上定义的伪全纯映射的模空间上，利用FOOO的Kuranishi结构理论构造Gromov-Witten虚基类。我们考虑来自环境空间和Deligne-Mumford模的约束，称为主插入，以及固有类，如$\psi$-类和Hodge类。

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Gromov-Witten theory via Kuranishi structures

In this expository manuscript, we review the construction of Gromov-Witten virtual fundamental class via FOOO's theory of Kuranishi structures for moduli spaces of pseudo-holomorphic maps defined on closed Riemann surfaces. We consider constraints coming from the ambient space and Deligne-Mumford moduli, called primary insertions, as well as intrinsic classes such as $\psi$-classes and Hodge classes.

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Virtual Fundamental Cycles in Symplectic Topology

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