Kobayashi-Hitchin correspondence for tame harmonic bundles and an application

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dc.creatorMochizuki, Takuro
dc.date2004-11-13
dc.date2006-08-29
dc.date.accessioned2026-07-07T06:39:00Z
dc.date.available2026-07-07T06:39:00Z
dc.descriptionWe establish the correspondence between tame harmonic bundles and $μ_L$-stable parabolic Higgs bundles with trivial characteristic numbers. We also show the Bogomolov-Gieseker type inequality for $μ_L$-stable parabolic Higgs bundles. Then we show that any local system on a smooth quasi projective variety can be deformed to a variation of polarized Hodge structure. As a consequence, we can conclude that some kind of discrete groups cannot be a split quotient of the fundamental group of a smooth quasi projective variety.
dc.identifierhttps://arxiv.org/abs/math/0411300
dc.identifierhttp://arxiv.org/abs/math/0411300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100938
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject14J60, 53C07, 53C43
dc.titleKobayashi-Hitchin correspondence for tame harmonic bundles and an application
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