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Area Estimates for High genus Lawson surfaces via DPW
Lynn Heller, Sebastian Heller, Martin Traizet
Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces of high genus by deforming the corresponding DPW potential. As a byproduct, we ob…
Real projective structures on Riemann surfaces and new hyper-Kähler manifolds
Sebastian Heller
The twistor space of the moduli space of solutions of Hitchin's self-duality equations can be identified with the Deligne-Hitchin moduli space of -connections. We use real proje…
Stability properties of 2-lobed Delaunay tori in the 3-sphere
Lynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye
We show that the of 2-lobed Delaunay tori are stable as constrained Willmore surfaces in the 3-sphere.
Isothermic constrained Willmore tori in 3-space
Lynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye
We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below . In parti…
Energy of sections of the Deligne-Hitchin twistor space
Florian Beck, Sebastian Heller, Markus Roeser
We study a natural functional on the space of holomorphic sections of the Deligne-Hitchin moduli space of a compact Riemann surface, generalizing the energy of equivariant harmonic…
Minimal n-Noids in hyperbolic and anti-de Sitter 3-space
Alexander I. Bobenko, Sebastian Heller, Nicholas Schmitt
We construct minimal surfaces in hyperbolic and anti-de Sitter 3-space with the topology of a -punctured sphere by loop group factorization methods. The end behavior of the surf…