A curvature-free Log(2k-1) Theorem
Geometric Topology
2023-04-03 v3 Differential Geometry
Metric Geometry
Abstract
This paper presents a curvature-free version of the Log(2k-1) Theorem of Anderson, Canary, Culler & Shalen [ACCS96]. It generalizes a result by Hou [Hou01] and its proof is rather straightforward once we know the work by Lim [Lim08] on volume entropy for graphs. As a byproduct we obtain a curvature-free version of the Collar Lemma in all dimensions.
Cite
@article{arxiv.1909.06124,
title = {A curvature-free Log(2k-1) Theorem},
author = {Florent Balacheff and Louis Merlin},
journal= {arXiv preprint arXiv:1909.06124},
year = {2023}
}
Comments
Accepted for publication in Proceedings of the AMS. Title Changed (formerly entitled "Volume entropy and lengths of homotopically independent loops")