Characteristic Subsurfaces, Character Varieties and Dehn Filling
Geometric Topology
2014-11-11 v1
Abstract
We give new bounds for the distance between two exceptional filling slopes for a 1-cusped hyperbolic 3-manifold in several different situations. The distance between a reducible slope and a slope that produces a manifold with finite fundamental group is at most 2. The distance between a reducible slope and one that produces a very small manifold is also at most 2. The distance between a reducible slope and one which produces a manifold with a pi_1 injective torus is at most 4. The methods used involve both characteristic submanifold theory and the theory of the PSL(2,C) character variety.
Keywords
Cite
@article{arxiv.math/0611669,
title = {Characteristic Subsurfaces, Character Varieties and Dehn Filling},
author = {Steve Boyer and Marc Culler and Peter B. Shalen and Xingru Zhang},
journal= {arXiv preprint arXiv:math/0611669},
year = {2014}
}
Comments
60 pages, 4 figures