Critical Heegaard surfaces obtained by amalgamation
Geometric Topology
2011-09-20 v1
Abstract
Critical surfaces are defined by Bachman as topological index 2 surfaces, generalizing incompressible surfaces and strongly irreducible surfaces. In this paper we give a condition to obtain critical Heegaard surfaces by amalgamation. As a special case, we obtain critical Heegaard surfaces by boundary stabilization. It gives critical Heegaard surfaces of non-minimal genus, for 3-manifolds which do not admit distinct Heegaard splittings (up to isotopy).
Cite
@article{arxiv.1109.3862,
title = {Critical Heegaard surfaces obtained by amalgamation},
author = {Jung Hoon Lee},
journal= {arXiv preprint arXiv:1109.3862},
year = {2011}
}
Comments
7 pages, 3 figures