Abstract
We show that there is only one obstruction to isotoping an essential lamination ℒ in a 3-manifold M containing an essential torus T so that when both ℒ and M are split open along T, the resulting lamination ℒ|T is essential in the split open manifold M|T. This is the existence of a cylindrical component in ℒ. This generalizes previous results relating taut foliations and essential tori.
| Original language | English |
|---|---|
| Pages (from-to) | 21-40 |
| Number of pages | 20 |
| Journal | Pacific Journal of Mathematics |
| Volume | 190 |
| Issue number | 1 |
| DOIs | |
| State | Published - Sep 1999 |