Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds
arXiv:1503.08521 · doi:10.2140/pjm.2016.281.83
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.
19 pages, 1 figure. arXiv admin note: text overlap with arXiv:1411.2509 by other authors