The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points

被引：7

作者：

Pagani, Nicola ^{[1
]}

机构：

[1] KTH Royal Inst Technol, S-10044 Stockholm, Sweden

来源：

ADVANCES IN MATHEMATICS | 2012年 / 229卷 / 03期

关键词：

ORBIFOLD COHOMOLOGY; INTERSECTION THEORY; SPACES;

D O I：

10.1016/j.aim.2011.12.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we describe the Chen-Ruan cohomology of the moduli stack of smooth and stable genus 2 curves with marked points. In the first half of the paper we compute the additive structure of the Chen-Ruan cohomology ring for the moduli stack of stable n-pointed genus 2 curves, describing it as a rationally graded vector space. In the second part we give generators for the even Chen-Ruan cohomology ring as an algebra on the ordinary cohomology. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1643 / 1687

页数：45

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