Closed orbits for the diagonal group and well-rounded lattices
Dynamical Systems
2014-05-23 v1
Abstract
Curt McMullen showed that every compact orbit for the action of the diagonal group on the space of lattices contains a well-rounded lattice. We extend this to all closed orbits.
Cite
@article{arxiv.1405.5682,
title = {Closed orbits for the diagonal group and well-rounded lattices},
author = {Michael Levin and Uri Shapira and Barak Weiss},
journal= {arXiv preprint arXiv:1405.5682},
year = {2014}
}
Comments
15 pages. This paper was originally a chapter in http://arxiv.org/abs/1309.4025