Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds
Geometric Topology
2016-02-17 v2
Abstract
Scharlemann and Thompson define a numerical complexity for a 3-manifold using handle decompositions of the manifold. We show that for compact hyperbolic 3-manifolds this is linearly related to a definition of metric complexity in terms of the areas of level sets of Morse functions.
Cite
@article{arxiv.1503.08521,
title = {Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds},
author = {Diane Hoffoss and Joseph Maher},
journal= {arXiv preprint arXiv:1503.08521},
year = {2016}
}
Comments
19 pages, 1 figure. arXiv admin note: text overlap with arXiv:1411.2509 by other authors