4 papers
CmcMesh: a python implementation of the DPW method
Thomas Raujouan, Martin Traizet
Minimal and constant mean curvature (CMC) surfaces in three-dimensional space forms can be constructed with the Dorfmeister--Pedit--Wu (DPW) method. We introduce CmcMesh, a Python…
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…
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…