Masur, Howard and Schleimer, Saul. (2013) The geometry of the disk complex. Journal of the American Mathematical Society, Vol.26 (No.1). pp. 1-62. ISSN 1088-6834

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Manifolds (Mathematics)
Journal or Publication Title:	Journal of the American Mathematical Society
Publisher:	American Mathematical Society
ISSN:	1088-6834
Date:	January 2013
Volume:	Vol.26
Number:	No.1
Page Range:	pp. 1-62
Identification Number:	10.1090/S0894-0347-2012-00742-5
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/52126

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