Gromov-Witten理论的拓扑学观点

Topology Pub Date : 2006-09-01 DOI:10.1016/j.top.2006.06.002

D. Maulik, R. Pandharipande

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引用次数: 161

摘要

通过退化和局部化公式提供的普遍关系，研究了相对的Gromov-Witten理论。我们发现相对Gromov-Witten理论完全由绝对Gromov-Witten理论决定。相对理论和绝对理论之间的关系是由对经典拓扑的强烈类比所指导的。作为一个结果，我们提出了一个数学确定的Gromov-Witten不变量(在所有属)的Calabi-Yau五次三倍根据已知的理论。

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A topological view of Gromov–Witten theory

We study relative Gromov–Witten theory via universal relations provided by the degeneration and localization formulas. We find relative Gromov–Witten theory is completely determined by absolute Gromov–Witten theory. The relationship between the relative and absolute theories is guided by a strong analogy to classical topology.

As an outcome, we present a mathematical determination of the Gromov–Witten invariants (in all genera) of the Calabi–Yau quintic 3-fold in terms of known theories.

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来源期刊

Topology 数学-数学

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0.00%

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审稿时长

1 months