9 citations · 41 across the 25 of their papers we have counts for
25 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^…
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…
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…
Complete families of embedded high genus CMC surfaces in the 3-sphere (with an appendix by Steven Charlton)
Lynn Heller, Sebastian Heller, Martin Traizet
For every , we show the existence of a complete and smooth family of closed constant mean curvature surfaces in the round -sphere defo…