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The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2012 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 229, no 3, 1643-1687 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2012. Vol. 229, no 3, 1643-1687 p.
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Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-90634DOI: 10.1016/j.aim.2011.12.017ISI: 000299604600010Scopus ID: 2-s2.0-84155176750OAI: oai:DiVA.org:kth-90634DiVA: diva2:510403
Note
QC 20120316Available from: 2012-03-16 Created: 2012-02-27 Last updated: 2017-12-07Bibliographically approved

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