On the Heegaard splittings of amalgamated 3-manifolds
Geometric Topology
2009-03-31 v2
Abstract
We give a combinatorial proof of a theorem first proved by Souto which says the following. Let M_1 and M_2 be simple 3-manifolds with connected boundary of genus g>0. If M_1 and M_2 are glued via a complicated map, then every minimal Heegaard splitting of the resulting closed 3-manifold is an amalgamation. This proof also provides an algorithm to find a bound on the complexity of the gluing map.
Keywords
Cite
@article{arxiv.math/0701395,
title = {On the Heegaard splittings of amalgamated 3-manifolds},
author = {Tao Li},
journal= {arXiv preprint arXiv:math/0701395},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 3 December 2007