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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. doi:10.2140/gt.2010.14.193 ISSN 1364-0380.

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

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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, Engineering and Medicine > 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
Official Date: 2010
Dates:
DateEvent
2010Published
Volume: Vol.14
Number: No.1
Number of Pages: 50
Page Range: pp. 193-242
DOI: 10.2140/gt.2010.14.193
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

Data sourced from Thomson Reuters' Web of Knowledge

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