$\bar{\cal M}_{3,2}$上的拓扑递归关系
Topological Recursion Relations on $\bar{\cal M}_{3,2}$
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.
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