Year: 2021
Type: preprint
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
Source: arXiv (Cornell University)
Authors: Aziz, Diop. ElHadji Abdou, Masseye, Gaye.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3195809259