Foliations and the Topology of 3-manifolds by David Gabai
- DAVID GABAI
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.