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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Acknowledgements
Thanks to Bidyut Sanki and Arya Vadnere, and to Tarik Aougab, Chris Hruska, and Burns Healy for helpful conversations.
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Gaster, J. A short proof of a conjecture of Aougab–Huang. Geom Dedicata 213, 339–343 (2021). https://doi.org/10.1007/s10711-020-00584-w
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DOI: https://doi.org/10.1007/s10711-020-00584-w