Topological Recursion Relations from Pixton Relations

被引：2

作者：

Lin, Yi Jie ^{[1
]}

Zhou, Jian ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 04期

关键词：

Faber-Zagier relations; Pixton relations; topological recursion relations; Gromov-Witten invariants; GROMOV-WITTEN INVARIANTS; INTERSECTION THEORY; MODULI SPACES; CURVES; COHOMOLOGY;

D O I：

10.1007/s10114-016-6155-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose an algorithm to derive tautological relations from Pixton relations. We carry out this algorithm explicitly to derive some results in genus 0, 1, 2, 3 and analyze the possibility to generalize to higher genera. As an application, some results about reconstruction of Gromov-Witten invariants can be derived.

引用

页码：470 / 494

页数：25

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