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math.DG2021★ 1 cited
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…
math.DG2021★ 2 cited
Gluing Karcher-Scherk saddle towers I: Triply periodic minimal surfaces
Hao Chen, Martin Traizet
We construct minimal surfaces by gluing simply periodic Karcher--Scherk saddle towers along their wings. Such constructions were previously implemented assuming a horizontal reflec…