activity
20052026
most citedEnds of the moduli space of Higgs bundles

58 citations · 201 across the 18 of their papers we have counts for

collaborators

21 papers

math.DG2026

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…

math.DG2025

Transgressive Harmonic Maps and SU(1,1) Self-Duality Solutions

Sebastian Heller, Lothar Schiemanowski, Hartmut Weiss

We establish a duality between harmonic maps from Riemann surfaces to hyperbolic 3-space and harmonic maps from Riemann surfaces to de Sitter three-space $\operatorn…

math.AG2021★ 3 cited

All 81 crepant resolutions of a finite quotient singularity are hyperpolygon spaces

Gwyn Bellamy, Alastair Craw, Steven Rayan +2

We demonstrate that the linear quotient singularity for the exceptional subgroup G in Sp(4,C) of order 32 is isomorphic to an affine quiver variety for a 5-pointed star-shaped quiv…

math.DG2020★ 6 cited

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…

math.DG2018

Homogeneous spinor flow

Marco Freibert, Lothar Schiemanowski, Hartmut Weiss

We study the spinor flow on homogeneous spin manifolds. After providing the general setup we discuss the homogeneous spinor flow in dimension 3 and on almost abelian Lie groups in…

math.DG2017★ 21 cited

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…