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math.DG2025
Higgs bundle, isomonodromic leaves and minimal surfaces
Brian Collier, Jérémy Toulisse, Richard Wentworth
In this paper we give a gauge theoretic construction of the joint moduli space of stable G-Higgs bundles on closed Riemann surfaces, where the Riemann surface structure is allowed…
math.DG2024
Z/2 harmonic 1-forms, R-trees, and the Morgan-Shalen compactification
Siqi He, Richard Wentworth, Boyu Zhang
This paper studies the relationship between an analytic compactification of the moduli space of flat connections on a closed, oriented 3-manifold de…
math.DG2024
Conformal limits for parabolic SL(n,C)-Higgs bundles
Brian Collier, Laura Fredrickson, Richard Wentworth
In this paper we generalize the conformal limit correspondence between Higgs bundles and holomorphic connections to the parabolic setting. Under mild genericity assumptions on the…