Counting arcs of the same type
Geometric Topology
2023-06-14 v1
Abstract
We prove a general counting result for arcs of the same type in compact surfaces. Wealso count infinite arcs in cusped surfaces and arcs in orbifolds. These theorems are derived from aresult that guarantees the convergence of certain measures on the space of geodesic currents.
Cite
@article{arxiv.2306.07573,
title = {Counting arcs of the same type},
author = {Marie Trin},
journal= {arXiv preprint arXiv:2306.07573},
year = {2023}
}