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http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2494| Title: | Moduli spaces of parabolic U(p,q)-Higgs bundles |
| Keywords: | Parabolic bundles Higgs bundles Moduli spaces |
| Description: | Using the L2-norm of the Higgs field as a Morse function, we count the number of
connected components of the moduli space of parabolic U(p,q)-Higgs bundles over a Riemann surface with a finite number of marked points, under certain genericity conditions on the parabolic structure. This space is homeomorphic to the moduli space of representations of the fundamental group of the punctured surface in U(p,q), with fixed compact holonomy classes around the marked points. We apply our results to the study of representations of the
fundamental group of elliptic surfaces of general type. Partially supported by Ministerio de Educación y Ciencia (Spain) through Project MTM2004-07090-C03-01. Peer reviewed |
| URI: | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2494 |
| Other Identifiers: | arXiv:math/0603365 http://hdl.handle.net/10261/2494 |
| Appears in Collections: | Digital Csic |
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