Chen-Ruan cohomology of some moduli spaces, II

preprint2010arXivOpen access

Abstract

Let X be a compact connected Riemann surface of genus at least two. Let r be a prime number and ξa holomorphic line bundle on it such that r is not a divisor of degree(ξ). Let {\mathcal M}_ξ(r) denote the moduli space of stable vector bundles over X of rank r and determinant ξ. By Γwe will denote the group of line bundles L over X such that L⊗rL^{\otimes r} is trivial. This group Γacts on {\mathcal M}_ξ(r). We compute the Chen-Ruan cohomology of the corresponding orbifold.

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