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The orbifold cohomology of moduli of hyperelliptic curves

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.

preprint2013arXivOpen access
Nicola Pagani
math.ATmath.AG
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Nicola Pagani

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