Chen-Ruan cohomology of some moduli spaces of parabolic vector bundles |
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Authors: | Indranil Biswas Arijit Dey |
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Institution: | School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India |
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Abstract: | Let (X,D) be an ?-pointed compact Riemann surface of genus at least two. For each point x∈D, fix parabolic weights such that . Fix a holomorphic line bundle ξ over X of degree one. Let PMξ denote the moduli space of stable parabolic vector bundles, of rank two and determinant ξ, with parabolic structure over D and parabolic weights . The group of order two line bundles over X acts on PMξ by the rule E∗⊗L?E∗⊗L. We compute the Chen-Ruan cohomology ring of the corresponding orbifold. |
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Keywords: | 14D20 14F05 |
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