Twisted Higgs bundles and the fundamental group of compact Kähler manifolds

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dc.creatorGarcia-Prada, O.
dc.creatorRamanan, S.
dc.date2000-09-08
dc.date.accessioned2026-07-07T04:37:18Z
dc.date.available2026-07-07T04:37:18Z
dc.descriptionWe study polystable Higgs bundles twisted by a line bundle over a compact Kähler manifold. These form a Tannakian category when the first and second Chern classes of the bundle are zero. In this paper we identify the corresponding Tannaka group in the case in which the line bundle is of finite order. This group is described in terms of the pro-reductive completion of the fundamental group of the manifold, and the character associated to the line bundle.
dc.description18 pages, no figures, Latex
dc.identifierhttps://arxiv.org/abs/math/0009093
dc.identifierhttp://arxiv.org/abs/math/0009093
dc.identifierMathematical Research Letters, 2000
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59902
dc.subjectAlgebraic Geometry
dc.subject14D20; 14F05; 53C07
dc.titleTwisted Higgs bundles and the fundamental group of compact Kähler manifolds
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