Geometry of moduli spaces of Higgs bundles

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dc.creatorBiswas, Indranil
dc.creatorSchumacher, Georg
dc.date2006-05-22
dc.date.accessioned2026-07-07T07:14:27Z
dc.date.available2026-07-07T07:14:27Z
dc.descriptionWe construct a Petersson-Weil type Kähler form on the moduli spaces of Higgs bundles over a compact Kähler manifold. A fiber integral formula for this form is proved, from which it follows that the Petersson-Weil form is the curvature of a certain determinant line bundle, equipped with a Quillen metric, on the moduli space of Higgs bundles over a projective manifold. The curvature of the Petersson-Weil Kähler form is computed. We also show that, under certain assumptions, a moduli space of Higgs bundles supports of natural hyper-Kähler structure.
dc.descriptionTo appear in Communications in Analysis and Geometry
dc.identifierhttps://arxiv.org/abs/math/0605589
dc.identifierhttp://arxiv.org/abs/math/0605589
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112880
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject53C07; 14J60; 32L05
dc.titleGeometry of moduli spaces of Higgs bundles
dc.typetext

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