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The orbifold cohomology of moduli of hyperelliptic curves
Published 22 Nov 2010 in math.AG and math.AT | (1011.4946v4)
Abstract: We study the inertia stack of [M_{0,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.
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