Torelli group action on the configuration space of a surface

被引：3

作者：

Looijenga, Eduard ^{[1
,2
]}

机构：

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing, Peoples R China

[2] Univ Utrecht, Math Inst, Utrecht, Netherlands

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2023年 / 15卷 / 01期

基金：

美国国家科学基金会;

关键词：

Configuration space; Torelli group; mixed Hodge structure; HOMOLOGY;

D O I：

10.1142/S1793525321500370

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Torelli group of a closed surface of genus >= 3 acts nontrivially on the rational cohomology of the space of 3-element subsets of that surface. This implies that for a Riemann surface of genus >= 3, the mixed Hodge structure on the space of its positive, reduced divisors of degree 3 does in general not split over Q.

引用

页码：215 / 222

页数：8

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