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The geometry of the disk complex
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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. doi:10.1090/S0894-0347-2012-00742-5 ISSN 1088-6834.
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Official URL: http://dx.doi.org/10.1090/S0894-0347-2012-00742-5
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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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 | ||||
Official Date: | January 2013 | ||||
Dates: |
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Volume: | Vol.26 | ||||
Number: | No.1 | ||||
Page Range: | pp. 1-62 | ||||
DOI: | 10.1090/S0894-0347-2012-00742-5 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 23 December 2015 | ||||
Date of first compliant Open Access: | 23 December 2015 |
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