Counting geodesics of given commutator length

Autor:	Erlandsson, Viveka, Souto, Juan
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	Let $\Sigma$ be a closed hyperbolic surface. We study, for fixed $g$, the asymptotics of the number of those periodic geodesics in $\Sigma$ having at most length $L$ and which can be written as the product of $g$ commutators. The basic idea is to reduce these results to being able to count critical realizations of trivalent graphs in $\Sigma$. In the appendix we use the same strategy to give a proof of Huber's geometric prime number theorem. Comment: 57 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.10274 Zobrazit plný text záznamu View this record from Arxiv