A Transversal for horocycle flow on H(2)
Geometric Topology
2016-07-21 v1 Dynamical Systems
Abstract
Using zippered rectangle coordinates we parametrize a Poincar\'e section for horocycle flow on the space of genus 2 translation surfaces with one singular cone point of angle . In addition, we bound the return time under horocycle flow to this Poincar\'e section by examining a subset of surfaces where a certain sum of parameters is large.
Cite
@article{arxiv.1607.05777,
title = {A Transversal for horocycle flow on H(2)},
author = {Grace Work},
journal= {arXiv preprint arXiv:1607.05777},
year = {2016}
}
Comments
28 pages, 4 figures