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math.DG2025
Semiclassical Limits of Strongly Parabolic Higgs Bundles and Hyperpolygon Spaces
Lynn Heller, Sebastian Heller, Claudio Meneses
We investigate the Hitchin hyperkähler metric on the moduli space of strongly parabolic $\mathfrak{sl}(2,\C)$-Higgs bundles on the -punctured Riemann sphere and its degeneration…
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.DG2025
Application of Chern-Simons gauge theory to the enclosed volume of constant mean curvature surfaces in the 3-sphere
Lynn Heller, Sebastian Heller, Martin Traizet
Building on Hitchin's work of the Wess-Zumino-Witten term for harmonic maps into Lie groups, we derive a formula for the enclosed volume of a compact CMC surface in $\mathbb S^…