A curvature-free Log(2k-1) Theorem
arXiv:1909.06124 · doi:10.1090/proc/15280
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.
Accepted for publication in Proceedings of the AMS. Title Changed (formerly entitled "Volume entropy and lengths of homotopically independent loops")