The geometry of the disk complex-Reference-Cited by-同舟云学术

The geometry of the disk complex

Published:2012-08-22 Issue:1 Volume:26 Page:1-62
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Masur Howard,Schleimer Saul

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/2013-26-01/S0894-0347-2012-00742-5/S0894-0347-2012-00742-5.pdf

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