The orbifold cohomology of moduli of hyperelliptic curves

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.

15 pages. We correct an error in Proposition 3.3 of the published paper, and its consequences

Cited by in corpus (2)

• The Chen-Ruan cohomology of moduli of curves of genus 2 with marked points
• The orbifold cohomology of moduli of genus 3 curves