arXiv Analytics

Sign in

arXiv:2002.09349 [math.GT]AbstractReferencesReviewsResources

A short proof of a conjecture of Aougab-Huang

Jonah Gaster

Published 2020-02-21Version 1

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.

Comments: 4 pages, 1 figure, comments welcome
Categories: math.GT
Related articles: Most relevant | Search more
arXiv:math/0208011 [math.GT] (Published 2002-08-02)
Remarks on a conjecture of Gromov and Lawson
arXiv:2010.13162 [math.GT] (Published 2020-10-25)
4-dimensional aspects of tight contact 3-manifolds
arXiv:1209.4239 [math.GT] (Published 2012-09-19, updated 2012-10-23)
On a conjecture of Dunfield, Friedl and Jackson