On boundary primitive manifolds and a theorem of Casson-Gordon
Geometric Topology
2007-05-23 v2
Abstract
In this paper it is shown that manifolds admitting minimal genus weakly reducible but irreducible Heegaard splittings contain an essential surface. This is an extension of a well known theorem of Casson-Gordon to manifolds with non-empty boundary. The situation for non-minimal genus Heegaard splittings is also investigated and it is shown that boundary stabilizations are stabilizations for manifolds which are boundary primitive.
Keywords
Cite
@article{arxiv.math/0201115,
title = {On boundary primitive manifolds and a theorem of Casson-Gordon},
author = {Yoav Moriah},
journal= {arXiv preprint arXiv:math/0201115},
year = {2007}
}
Comments
13 pages 3 figures. Will appear in Topology and its Applications