On the Picard Group of the Moduli Space of Curves via r-Spin Structures

被引：0

作者：

Gubarevich, Danil ^{[1
,2
]}

机构：

[1] Univ Versailles St Quentin Yvelines, Lab Math Versailles, UFR Sci, 45 Ave Etats Unis, F-78035 Versailles, France

[2] Natl Res Univ, Fac Math, Higher Sch Econ, 6 Usacheva Str, Moscow 119048, Russia

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2024年 / 20卷

关键词：

moduli space of curves; tautological relations; cohomological field theories;

D O I：

10.3842/SIGMA.2024.088

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of M g,n and comparing the result with Arbarello-Cornalba's theorem we prove Pixton's conjecture in this case.

引用

页数：16

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