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dc.contributor.authorGarcía Prada, Oscar-
dc.contributor.authorLogares, Marina-
dc.contributor.authorMuñoz, Vicente-
dc.date.accessioned2007-12-03T18:59:32Z-
dc.date.available2007-12-03T18:59:32Z-
dc.date.issued2006-03-15-
dc.identifier.citationarXiv:math/0603365en_US
dc.identifier.urihttp://hdl.handle.net/10261/2494-
dc.description.abstractUsing 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.en_US
dc.description.sponsorshipPartially supported by Ministerio de Educación y Ciencia (Spain) through Project MTM2004-07090-C03-01.en_US
dc.language.isoengen_US
dc.relation.isversionofPreprint-
dc.rightsopenAccessen_US
dc.subjectParabolic bundlesen_US
dc.subjectHiggs bundlesen_US
dc.subjectModuli spacesen_US
dc.titleModuli spaces of parabolic U(p,q)-Higgs bundlesen_US
dc.typepreprinten_US
dc.description.peerreviewedPeer revieweden_US
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