On real moduli spaces of holomorphic bundles over M-curves |
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Authors: | Nikolai Saveliev Shuguang Wang |
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Institution: | a Department of Mathematics, University of Miami, PO Box 249085, Coral Gables, FL 33124, United States b Department of Mathematics, University of Missouri, 202 Mathematical Sciences Bldg, Columbia, MO 65211, United States |
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Abstract: | Let F be a genus g curve and σ:F→F a real structure with the maximal possible number of fixed circles. We study the real moduli space N′=Fix(σ#) where σ#:N→N is the induced real structure on the moduli space N of stable holomorphic bundles of rank 2 over F with fixed non-trivial determinant. In particular, we calculate H?(N′,Z) in the case of g=2, generalizing Thaddeus' approach to computing H?(N,Z). |
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Keywords: | 14H60 53D30 58D27 |
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