Abstract
We associate to each stable Higgs pair on a compact Riemann surface a singular limiting configuration , assuming that has only simple zeroes. We then prove a desingularization theorem by constructing a family of solutions to Hitchin’s equations, which converge to this limiting configuration as . This provides a new proof, via gluing methods, for elements in the ends of the Higgs bundle moduli space and identifies a dense open subset of the boundary of the compactification of this moduli space.
Citation
Rafe Mazzeo. Jan Swoboda. Hartmut Weiss. Frederik Witt. "Ends of the moduli space of Higgs bundles." Duke Math. J. 165 (12) 2227 - 2271, 1 September 2016. https://doi.org/10.1215/00127094-3476914
Information