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arXiv:2108.06796 [math.GT]AbstractReferencesReviewsResources

Self intersections on a pair of pants

Diop. ElHadji Abdou Aziz, Gaye. Masseye

Published 2021-08-15Version 1

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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