Topological Recursion Relations from Pixton’s Formula
Topological Recursion Relations from Pixton’s Formula
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DOI：
10.1307/mmj/20195795
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发表时间：
2017-04
影响因子：
0.9
通讯作者：
E. Clader;F. Janda;Xin Wang;D. Zakharov
中科院分区：
文献类型：
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作者：
E. Clader;F. Janda;Xin Wang;D. Zakharov
对于任意格g \leq 26和所有格n \leq 3，证明了Mbar＿g，{n上的psi类中的每个次g}多项式都可以表示为边界上无kappa类支持的重言类的和。这样的方程，我们称之为拓扑递推关系，可以用来推导任何目标的Gromov-Witten不变量的通用方程。
For any genus g \leq 26, and for n \leq 3 in all genus, we prove that every degree-g polynomial in the psi-classes on Mbar_{g,n} can be expressed as a sum of tautological classes supported on the boundary with no kappa-classes. Such equations, which we refer to as topological recursion relations, can be used to deduce universal equations for the Gromov-Witten invariants of any target.