Isolated exceptional Dehn surgeries on hyperbolic knots

Topology and Its Applications Volume 156 Issue 6 Page 1148-1152 published_at 2009
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Title ( eng )
Isolated exceptional Dehn surgeries on hyperbolic knots
Creator
Source Title
Topology and Its Applications
Volume 156
Issue 6
Start Page 1148
End Page 1152
Abstract
For a hyperbolic knot in the 3-sphere, at most finitely many Dehn surgeries yield non-hyperbolic manifolds. Such exceptional surgeries are classified into four types, lens space surgery. small Seifert fibered surgery, toroidal surgery and reducing surgery, according to the resulting manifolds. For each of the three types except reducing surgery, we give infinitely many hyperbolic knots with integral exceptional Dehn surgeries of the given type, whose adjacent integral surgeries are not exceptional.
Keywords
Isolated exceptional Dehn surgery, Hyperbolic knot
NDC
Mathematics [ 410 ]
Language
eng
Resource Type journal article
Publisher
Eleevier Science BV
Date of Issued 2009
Rights
Copyright (c) 2008 Elsevier B.V.
Publish Type Author’s Original
Access Rights open access
Source Identifier
[ISSN] 0166-8641
[DOI] 10.1016/j.topol.2008.10.006
[NCID] AA00459572
[DOI] http://dx.doi.org/10.1016/j.topol.2008.10.006