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Canonical triangulations of Dehn fillings

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Guéritaud, François and Schleimer, Saul. (2010) Canonical triangulations of Dehn fillings. Geometry & topology, Vol.14 (No.1). pp. 193-242. ISSN 1364-0380

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Official URL: http://dx.doi.org/10.2140/gt.2010.14.193

Abstract

Every cusped, finite-volume hyperbolic three-manifold has a canonical decomposition into ideal polyhedra. We study the canonical decomposition of the hyperbolic manifold obtained by filling some (but not all) of the cusps with solid tori: in a broad range of cases, generic in an appropriate sense, this decomposition can be predicted from that of the unfilled manifold (a similar result has been independently announced by Akiyoshi [4]). We also find the canonical decompositions of all hyperbolic Dehn fillings on one cusp of the Whitehead link complement.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Manifolds (Mathematics), Cusp forms (Mathematics), Dehn surgery (Topology)
Journal or Publication Title:	Geometry & topology
Publisher:	Geometry & Topology Publications
ISSN:	1364-0380
Date:	2010
Volume:	Vol.14
Number:	No.1
Number of Pages:	50
Page Range:	pp. 193-242
Identification Number:	10.2140/gt.2010.14.193
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/16808