55 citations · 127 across the 10 of their papers we have counts for
10 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…
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…
Parabolic Higgs bundles, connections and opers
Murad Alim, Florian Beck, Laura Fredrickson
The non-abelian Hodge correspondence identifies complex variations of Hodge structures with certain Higgs bundles. In this work we analyze this relationship, and some of its ramifi…
Generic Ends of the Moduli Space of -Higgs Bundles
Laura Fredrickson
Given a generic ray of Higgs bundles , we describe the corresponding family of hermitian metrics solving Hitchin's equations via gluing methods.…
Exponential Decay for the Asymptotic Geometry of the Hitchin Metric
Laura Fredrickson
We consider Hitchin's hyperkähler metric on the -Hitchin moduli space moduli space over a compact Riemann surface. We prove that the difference between the metric…
Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space
Laura Fredrickson
We survey some recent developments in the asymptotic geometry of the Hitchin moduli space, starting with an introduction to the Hitchin moduli space and hyperkähler geometry.