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Compactification of moduli of Higgs bundles

Tamas Hausel
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Abstract

In this paper we consider a canonical compactification of Hitchin's moduli space of stable Higgs bundles with fixed determinant of odd degree over a Riemann surface, producing a projective variety by gluing in a divisor at infinity. We give a detailed study of the compactified space, the divisor at infinity and the moduli space itself. In doing so we reprove some assertions of Laumon and Thaddeus on the nilpotent cone.

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Tamas Hausel. 1998-04-17. Compactification of moduli of Higgs bundles. https://arxiv.org/abs/math/9804083

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