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A short proof of a conjecture of Aougab-Huang

2020/02/21 by Jonah Gaster, Gaster, Jonah · 2 citations
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT

paper · pdf · doi:10.48550/arxiv.2002.09349

4 pages, 1 figure, comments welcome

arxiv created 2020/09/07 · arxiv updated 2020/09/09

Abstract

In response to Sanki-Vadnere, we present a short proof of the following theorem: a pair of simple curves on a hyperbolic surface whose complementary regions are disks has length at least half the perimeter of the regular right-angled (8g-4)-gon.

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