Hyperbolic knots with three toroidal Dehn surgeries
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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.
Journal
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- Journal of Knot Theory and Its Ramifications
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Journal of Knot Theory and Its Ramifications 17 (9), 1051-1061, 2008-09
World Scientific Publishing Co. Pte. Ltd.
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Keywords
Details 詳細情報について
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- CRID
- 1050859215940262400
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- NII Article ID
- 120001092452
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- NII Book ID
- AA10833085
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles