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Curve complexes are rigid

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Rafi, Kasra and Schleimer, Saul. (2011) Curve complexes are rigid. Duke Mathematical Journal, Vol.158 (No.2). pp. 225-246. ISSN 0012-7094

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Official URL: http://dx.doi.org/10.1215/00127094-1334004

Abstract

Any quasi-isometry of the curve complex is bounded distance from a simplicial automorphism. As a consequence, the quasi-isometry type of the curve complex determines the homeomorphism type of the surface.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Topology, Curves, Homeomorphisms
Journal or Publication Title:	Duke Mathematical Journal
Publisher:	Duke University Press
ISSN:	0012-7094
Date:	1 June 2011
Volume:	Vol.158
Number:	No.2
Page Range:	pp. 225-246
Identification Number:	10.1215/00127094-1334004
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/38618