Stabilizations of Heegaard splittings of graph manifolds
Geometric Topology
2007-05-23 v1
Abstract
We show that after one stabilization, a strongly irreducible Heegaard splitting of suitably large genus of a graph manifold is isotopic to an amalgamation along a modified version of the system of canonical tori in the JSJ decomposition. As a corollary, two strongly irreducible Heegaard splittings of a graph manifold of suitably large genus are isotopic after at most one stabilization of the higher genus splitting.
Keywords
Cite
@article{arxiv.math/0604116,
title = {Stabilizations of Heegaard splittings of graph manifolds},
author = {Ryan Derby-Talbot},
journal= {arXiv preprint arXiv:math/0604116},
year = {2007}
}
Comments
53 pages, 37 figures