Unipotent flat bundles and Higgs bundles over compact Kaehler manifolds

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dc.creatorLekaus, Silke
dc.date2003-05-18
dc.date.accessioned2026-07-07T04:58:06Z
dc.date.available2026-07-07T04:58:06Z
dc.descriptionWe characterize those unipotent representations of the fundamental group $π_1(X,x)$ of a compact Kaehler manifold $X$, which correspond to a Higgs bundle whose underlying Higgs field is equal to zero. The characterization is parallel to the one that R. Hain gave of those unipotent representations of $π_1(X,x)$ that can be realized as the monodromy of a flat connection on the holomorphically trivial vector bundle. We see that Hain's result and ours follow from a careful study of Simpson's correspondence between Higgs bundles and local systems.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0305258
dc.identifierhttp://arxiv.org/abs/math/0305258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67502
dc.subjectAlgebraic Geometry
dc.subject14F05; 14C30; 32L07
dc.titleUnipotent flat bundles and Higgs bundles over compact Kaehler manifolds
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