Abstract
We show that for any nontrivial knot in S3, 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.
| Original language | English |
|---|---|
| Pages (from-to) | 149-168 |
| Number of pages | 20 |
| Journal | Pacific Journal of Mathematics |
| Volume | 269 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2014 |
Keywords
- Branched surface
- Dehn surgery
- Taut foliation