Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660434 | Topology and its Applications | 2007 | 11 Pages |
Abstract
We show that if M is a closed three manifold with a Heegaard splitting with sufficiently big Heegaard distance then the subgroup of the mapping class group of the Heegaard surface, whose elements extend to both handlebodies is finite. As a corollary, this implies that under the same hypothesis, the mapping class group of M is finite.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology