58 citations · 125 across the 13 of their papers we have counts for
18 papers
ALG gravitational instantons and Hitchin moduli spaces, I: Torelli parameters
Laura Fredrickson, Rafe Mazzeo, Jan Swoboda +1
This is the first of two papers which together prove that the -parameter family of parabolic -Hitchin moduli spaces on the four-punctured sphere are all ALG gravitationa…
Higgs bundles, harmonic maps, and pleated surfaces
Andreas Ott, Jan Swoboda, Richard Wentworth +1
This paper unites the gauge-theoretic and hyperbolic-geometric perspectives on the asymptotic geometry of the character variety of SL(2,C) representations of a surface group. Speci…
Asymptotic Geometry of the Moduli Space of Parabolic -Higgs Bundles
Laura Fredrickson, Rafe Mazzeo, Jan Swoboda +1
Given a generic stable strongly parabolic -Higgs bundle , we describe the family of harmonic metrics for the ray of Higgs bundles $(\mathc…
Asymptotic Geometry of the Hitchin Metric
Rafe Mazzeo, Jan Swoboda, Hartmut Weiss +1
We study the asymptotics of the natural metric on the Hitchin moduli space with group . Our main result, which addresses a detailed conjectural picture ma…
Sectional curvature asymptotics of the Higgs bundle moduli space
Jan Swoboda
We determine the asymptotic behavior in the limit of large Higgs fields of the sectional curvatures of the natural hyperkähler metric of the moduli space $\mathcal…
The Hitchin fibration under degenerations to noded Riemann surfaces
Jan Swoboda
In this note we study some analytic properties of the linearized self-duality equations on a family of smooth Riemann surfaces converging for to a surface …