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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
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 | ||||
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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), Cusp forms (Mathematics), Dehn surgery (Topology) | ||||
Journal or Publication Title: | Geometry & topology | ||||
Publisher: | Geometry & Topology Publications | ||||
ISSN: | 1364-0380 | ||||
Official Date: | 2010 | ||||
Dates: |
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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 |
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