Taut foliations in knot complements
Geometric Topology
2016-01-20 v2
Abstract
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
Cite
@article{arxiv.1211.3066,
title = {Taut foliations in knot complements},
author = {Tao Li and Rachel Roberts},
journal= {arXiv preprint arXiv:1211.3066},
year = {2016}
}
Comments
19 pages, 6 figures. Minor changes; applications were added in the introduction section