Hyperbolic knots with three toroidal Dehn surgeries
Journal of Knot Theory and Its Ramifications Volume 17 Issue 9
Page 1051-1061
published_at 2008-09
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| File | |
| Title ( eng ) |
Hyperbolic knots with three toroidal Dehn surgeries
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| Creator | |
| Source Title |
Journal of Knot Theory and Its Ramifications
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| Volume | 17 |
| Issue | 9 |
| Start Page | 1051 |
| End Page | 1061 |
| Abstract |
It is conjectured that a hyperbolic knot admits at most three Dehn surgeries which yield closed 3-manifolds containing incompressible tori. We show that there exist infinitely many hyperbolic knots which attain the conjectural maximum number. Interestingly, those surgeries correspond to consecutive integers.
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| Keywords |
Toroidal Dehn surgery
tangle
Montesinos trick
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
World Scientific Publishing Co. Pte. Ltd.
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| Date of Issued | 2008-09 |
| Rights |
Copyright (c) 2008 World Scientific Publishing Company http://www.worldscinet.com/jktr/jktr.shtml
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0218-2165
[DOI] 10.1142/S0218216508006543
[NCID] AA10833085
[DOI] http://dx.doi.org/10.1142/S0218216508006543
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