Self intersections on a pair of pants

Diop. ElHadji Abdou Aziz; Gaye. Masseye

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arXiv · 2108.06796

Self intersections on a pair of pants

Diop. ElHadji Abdou Aziz·Gaye. Masseye

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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

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Diop. ElHadji Abdou Aziz, Gaye. Masseye. 2021-08-15. Self intersections on a pair of pants. https://arxiv.org/abs/2108.06796

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