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arXiv · 1503.08521

Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds

Diane Hoffoss·Joseph Maher
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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.

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Diane Hoffoss, Joseph Maher. 2015-04-01. Morse area and Scharlemann-Thompson width for hyperbolic 3-manifolds. https://doi.org/10.2140/pjm.2016.281.83

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