Big Handlebody Distance Implies Finite Mapping Class Group
Geometric Topology
2007-05-23 v3
Abstract
We show that if is a closed three manifold with a Heegaard splitting with sufficiently big "handlebody distance" then the subgroup of the mapping class group of the Heegaard surface, which extend to both handlebodies is finite. As a corollary, this implies that under the same hypothesis, the mapping class group of is finite.
Cite
@article{arxiv.math/0406551,
title = {Big Handlebody Distance Implies Finite Mapping Class Group},
author = {Hossein Namazi},
journal= {arXiv preprint arXiv:math/0406551},
year = {2007}
}
Comments
9 pages