Area Estimates for High genus Lawson surfaces via DPW
Lynn Heller (University of Hannover)
Abstract: Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces $\xi_{m,k}$ of high genus by dropping some closing conditions of the surface and then deforming the corresponding DPW potential. As a byproduct, we obtain for fixed mestimates on the area of $\xi_{m,k}$ in terms of their genus $g= mk \gg 1$. This is joint work with Sebastian Heller and Martin Traizet.
Mathematics
Audience: researchers in the topic
( paper )
Online Seminar "Geometric Analysis"
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