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Taut foliations in
knot complements
Tao Li and Rachel Roberts |
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Vol. 269 (2014), No. 1, 149–168
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Abstract |
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We show that for any nontrivial knot in , there is an open interval containing zero such that a Dehn surgery on any slope in this interval yields a 3-manifold with taut foliations. This generalizes a theorem of Gabai on zero frame surgery. |
Keywords
taut foliation, Dehn surgery, branched surface
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Mathematical Subject Classification 2010
Primary: 57M25, 57M50, 57N10, 57R30
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Milestones
Received: 13 November 2012
Revised: 16 January 2013
Accepted: 21 January 2013
Published: 15 July 2014
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Authors |
| Tao Li | |
| Department of Mathematics Boston College Carney Hall 140 Commonwealth Ave. Chestnut Hill, MA 02467 United States |
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| Rachel Roberts | |
| Department of Mathematics Washington University St. Louis, MO 63130 United States |
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