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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. 193242. ISSN 13640380

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Official URL: http://dx.doi.org/10.2140/gt.2010.14.193
Abstract
Every cusped, finitevolume hyperbolic threemanifold 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:  13640380 
Date:  2010 
Volume:  Vol.14 
Number:  No.1 
Number of Pages:  50 
Page Range:  pp. 193242 
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 
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