Compactification of moduli of Higgs bundles
Algebraic Geometry
2007-05-23 v1 Differential Geometry
Symplectic Geometry
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.
Cite
@article{arxiv.math/9804083,
title = {Compactification of moduli of Higgs bundles},
author = {Tamas Hausel},
journal= {arXiv preprint arXiv:math/9804083},
year = {2007}
}
Comments
Latex, 25 pages, to appear in Crelle's Journal