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arXiv · 1907.07139

Area Estimates for High genus Lawson surfaces via DPW

Lynn Heller·Sebastian Heller·Martin Traizet
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Abstract

Starting at a saddle tower surface, we give a new existence proof of the Lawson surfaces $\xi_{m,k}$ of high genus by deforming the corresponding DPW potential. As a byproduct, we obtain for fixed $m$ estimates on the area of $ \xi_{m,k}$ in terms of their genus $g=m k \gg1$.

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Lynn Heller, Sebastian Heller, Martin Traizet. 2019-07-16. Area Estimates for High genus Lawson surfaces via DPW. https://arxiv.org/abs/1907.07139

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