Bounds on the number of non-simple closed geodesics on a surface
Geometric Topology
2017-02-21 v1
Abstract
We give bounds on the number of non-simple closed curves on a negatively curved surface, given upper bounds on both length and self-intersection number. In particular, it was previously known that the number of all closed curves of length at most grows exponentially in . We get exponentially tighter bounds given weak conditions on self-intersection number.
Keywords
Cite
@article{arxiv.1505.07171,
title = {Bounds on the number of non-simple closed geodesics on a surface},
author = {Jenya Sapir},
journal= {arXiv preprint arXiv:1505.07171},
year = {2017}
}