Counting saddle connections in a homology class modulo $q$
Dynamical Systems
2018-09-05 v1 Number Theory
Abstract
We give effective estimates for the number of saddle connections on a translation surface that have length and are in a prescribed homology class modulo . Our estimates apply to almost all translation surfaces in a stratum of the moduli space of translation surfaces, with respect to the Masur-Veech measure on the stratum.
Keywords
Cite
@article{arxiv.1809.00579,
title = {Counting saddle connections in a homology class modulo $q$},
author = {Michael Magee and Rene Rühr and Rodolfo Gutiérrez-Romo},
journal= {arXiv preprint arXiv:1809.00579},
year = {2018}
}
Comments
26 pages, by Michael Magee and Rene R\"{u}hr. Contains an appendix written by Rodolfo Guti\'{e}rrez Romo