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The Orbifold Cohomology of Moduli of Hyperelliptic Curves
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2012 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 10, 2163-2178 p.Article in journal (Refereed) Published
Abstract [en]

We study the inertia stack of [M-0,M-n/S-n], the quotient stack of the moduli space of smooth genus 0 curves with n marked points via the action of the symmetric group S-n. Then we see how-from this analysis-we can obtain a description of the inertia stack of H-g, the moduli stack of hyperelliptic curves of genus g. From this, we can compute additively the Chen-Ruan ( or orbifold) cohomology of H-g.

Place, publisher, year, edition, pages
2012. no 10, 2163-2178 p.
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Mathematics
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URN: urn:nbn:se:kth:diva-96747DOI: 10.1093/imrn/rnr106ISI: 000304047400001Scopus ID: 2-s2.0-84861045578OAI: oai:DiVA.org:kth-96747DiVA: diva2:532417
Available from: 2012-06-11 Created: 2012-06-11 Last updated: 2017-12-07Bibliographically approved

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