Chen-Ruan cohomology of some moduli spaces, II

Details Chen-Ruan cohomology of some moduli spaces, II Chen-Ruan cohomology of some moduli spaces, II

2010-09-21

arxiv.org/abs/1009.4009v1

Mathematics

Algebraic Geometry

International Journal of Mathematics (Vol. 21)

Scientific paper

10.1142/S0129167X10006094

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

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