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.
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页数：16
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