The geometry of the disk complex

Masur, Howard; Schleimer, Saul

doi:10.1090/S0894-0347-2012-00742-5

Authors: Howard Masur and Saul Schleimer
Journal: J. Amer. Math. Soc. 26 (2013), 1-62
MSC (2010): Primary 57M50
DOI: https://doi.org/10.1090/S0894-0347-2012-00742-5
Published electronically: August 22, 2012
MathSciNet review: 2983005
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Abstract: We give a distance estimate for the disk complex. We use the distance estimate to prove that the disk complex is Gromov hyperbolic. As another application of our techniques, we find an algorithm which computes the Hempel distance of a Heegaard splitting, up to an error depending only on the genus.

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