English

Self intersections on a pair of pants

Geometric Topology 2021-08-17 v1

Abstract

In this paper1 , we use the coding developed by R. Bowen and C. Series to compute the number of self-intersections of a closed geodesic on a pair of pants. We give lower and upper bounds on the number of self-intersections of a closed geodesic on a pair of pants. We prove a conjecture of Moira Chas and Anthony Phillips in [4]. We get also bounds for the number of closed geodesics whose self-intersection number is very close to the maximal self-intersection number on a pair of pants

Keywords

Cite

@article{arxiv.2108.06796,
  title  = {Self intersections on a pair of pants},
  author = {Diop. ElHadji Abdou Aziz and Gaye. Masseye},
  journal= {arXiv preprint arXiv:2108.06796},
  year   = {2021}
}
R2 v1 2026-06-24T05:07:56.858Z