4 papers
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…
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^…
Loop group methods for the non-abelian Hodge correspondence on a 4-punctured sphere
Lynn Heller, Sebastian Heller, Martin Traizet
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs bundles and the deRham moduli space of irreducible flat connections mediated by…