Infinite genus surfaces and irrational polygonal billiards
Dynamical Systems
2009-05-11 v2
Abstract
We prove that the natural invariant surface associated with the billiard game on an irrational polygonal table is homeomorphic to the Loch Ness monster, that is, the only orientable infinite genus topological real surface with exactly one end.
Keywords
Cite
@article{arxiv.0811.0728,
title = {Infinite genus surfaces and irrational polygonal billiards},
author = {Ferran Valdez},
journal= {arXiv preprint arXiv:0811.0728},
year = {2009}
}
Comments
15 pages, 18 figures