## Foliations and the Topology of 3-manifolds by David Gabai

- DAVID GABAI
- 2007

- Published 2006

Let M be a one-cusped hyperbolic manifold. A slope on the boundary of the compact core of M is called exceptional if the corresponding Dehn filling produces a non-hyperbolic manifold. We give new upper bounds for the distance between two exceptional slopes α and β in several situations. These include cases where M(β) is reducible and where M(α) has finite π1; or M(α) is very small; or M(α) admits a π1-injective immersed torus.

@inproceedings{FILLINGS200622N,
title={2 2 N ov 2 00 6 CHARACTERISTIC SUBSURFACES , CHARACTER VARIETIES AND DEHN FILLINGS},
author={DEHN FILLINGS},
year={2006}
}