Infima of length functions and dual cube complexes
Geometric Topology
2018-09-25 v2
Abstract
In the presence of certain topological conditions, we provide lower bounds for the infimum of the length function associated to a collection of curves on Teichm\"uller space that depend on the dual cube complex associated to the collection, a concept due to Sageev. As an application of our bounds, we obtain estimates for the `longest' curve with self-intersections, complementing work of Basmajian \cite{basmajian}.
Cite
@article{arxiv.1505.07944,
title = {Infima of length functions and dual cube complexes},
author = {Jonah Gaster},
journal= {arXiv preprint arXiv:1505.07944},
year = {2018}
}
Comments
15 pages, 6 figures, published version