arXiv Analytics

Sign in

arXiv:1211.3066 [math.GT]AbstractReferencesReviewsResources

Taut foliations in knot complements

Tao Li, Rachel Roberts

Published 2012-11-13, updated 2013-01-23Version 2

We show that for any nontrivial knot in $S^3$, 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.

Comments: 19 pages, 6 figures. Minor changes; applications were added in the introduction section
Categories: math.GT
Subjects: 57M50, 57M25, 57N10, 57R30
Related articles: Most relevant | Search more
arXiv:math/0603589 [math.GT] (Published 2006-03-24)
Acylindrical surfaces in 3-manifolds and knot complements
arXiv:math/0702867 [math.GT] (Published 2007-02-28)
Closed incompressible surfaces of genus two in 3-bridge knot complements
arXiv:math/0008235 [math.GT] (Published 2000-08-31)
Braid structures in knot complements, handlebodies and 3-manifolds

Links

Toolbox