5 papers · 1 filter
The Enclosed Volume for Periodic Constant Mean Curvature Surfaces
Lynn Heller, Sebastian Heller, Martin Traizet
We establish a general formula for the enclosed volume of constant mean curvature (CMC) surfaces in Euclidean three space with translational periods forming a lattice. The formula…
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 degeneratio…
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…
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^…
Minimal surfaces and alternating multiple zetas
Steven Charlton, Lynn Heller, Sebastian Heller +1
In this paper we show for every sufficiently large integer the existence of a complete family of closed and embedded constant mean curvature (CMC) surfaces deforming the Lawson…