Parity condition for irreducibility of Heegaard splittings
Geometric Topology
2009-02-05 v3
Abstract
Casson and Gordon gave the rectangle condition for strong irreducibility of Heegaard splittings [1]. We give a parity condition for irreducibility of Heegaard splittings of irreducible manifolds. As an application, we give examples of non-stabilized Heegaard splittings by doing a single Dehn twist.
Keywords
Cite
@article{arxiv.0812.0225,
title = {Parity condition for irreducibility of Heegaard splittings},
author = {Jung Hoon Lee},
journal= {arXiv preprint arXiv:0812.0225},
year = {2009}
}
Comments
The paper is totally rewritten. The title has been changed. 9 pages, 5 figures