Intersection numbers in the curve graph with a uniform constant
Geometric Topology
2016-03-14 v3
Abstract
We derive various inequalities involving the intersection number of the curves contained in geodesics and tight geodesics in the curve graph. While there already exist such inequalities on tight geodesics, our method applies in the setting of geodesics. Furthermore, the method gives inequalities with a uniform constant depending only on the topology of the surface.
Cite
@article{arxiv.1502.06367,
title = {Intersection numbers in the curve graph with a uniform constant},
author = {Yohsuke Watanabe},
journal= {arXiv preprint arXiv:1502.06367},
year = {2016}
}
Comments
Minor revisions following comments from the referees