Geometry of moduli spaces of Higgs bundles

Biswas, Indranil ; Schumacher, Georg (2006) Geometry of moduli spaces of Higgs bundles Communications in Analysis and Geometry, 14 (4). pp. 765-793. ISSN 1019-8385

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Official URL: http://arxiv.org/pdf/math/0605589v1

Abstract

We construct a Petersson-Weil type Kahler form on the moduli spaces of Higgs bundles over a compact Kahler 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 Kahler form is computed. We also show that, under certain assumptions, a moduli space of Higgs bundles supports of natural hyper-Kahler structure.

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Source:Copyright of this article belongs to International Press.
ID Code:3541
Deposited On:12 Oct 2010 04:17
Last Modified:16 May 2016 14:19

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