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arXiv 1104.4378math.DGmath-phmath.AGmath.MP
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$\bar{\cal M}_{3,2}$上的拓扑递归关系

Topological Recursion Relations on $\bar{\cal M}_{3,2}$

Takashi Kimura, Xiaobo Liu

摘要:

本文给出了紧致辛流形的Gromov-Witten不变量的亏格3的泛方程。这些方程是通过研究2点亏格3稳定曲线的模空间重言式环中的新关系而得到的。我们搜索的genus-3方程的副产品是一个新的genus-2的Gromov-Witten不变量的通用方程。

英文摘要:

In this paper, we give some new genus-3 universal equations for Gromov-Witten invariants of compact symplectic manifolds. These equations were obtained by studying new relations in the tautological ring of the moduli space of 2-pointed genus-3 stable curves. A byproduct of our search for genus-3 equations is a new genus-2 universal equation for Gromov-Witten invariants.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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