Parabolic Higgs bundles and Teichmüller spaces for punctured surfaces

Simple item page
dc.creatorBiswas, Indranil
dc.creatorGastesi, Pablo
dc.creatorGovindarajan, Suresh
dc.date1995-10-14
dc.date.accessioned2026-07-07T08:21:06Z
dc.date.available2026-07-07T08:21:06Z
dc.descriptionIn this paper we study the relation between parabolic Higgs bundles and irreducible representations of the fundamental group of punctured Riemann surfaces established by Simpson. We generalize a result of Hitchin, identifying those parabolic Higgs bundles that correspond to Fuchsian representations. We also study the Higgs bundles that give representations whose image is contained, after conjugation, in SL($k,\Bbb R$). We compute the real dimension of one of the components of this space of representations, which in the absence of punctures is the generalized Teichmüller space introduced by Hitchin, and which in the case of $k=2$ is the Teichmüller space of the Riemann surface.
dc.descriptionAMSLaTeX v 2.09, 13 pages, DVI file available at http://www.imsc.ernet.in/~pablo/
dc.identifierhttps://arxiv.org/abs/alg-geom/9510011
dc.identifierhttp://arxiv.org/abs/alg-geom/9510011
dc.identifierTrans.Am.Math.Soc. 349 (1997) 1551-1560
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135259
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject58E15
dc.titleParabolic Higgs bundles and Teichmüller spaces for punctured surfaces
dc.typetext

Files

Collections

arXiv