On volumes of quasi-arithmetic hyperbolic lattices
Metric Geometry
2018-02-23 v3 K-Theory and Homology
Number Theory
Abstract
We prove that the covolume of any quasi-arithmetic hyperbolic lattice (a notion that generalizes the definition of arithmetic subgroups) is a rational multiple of the covolume of an arithmetic subgroup. As a corollary, we obtain a good description for the shape of the volumes of most of the known hyperbolic n-manifolds with n>3.
Keywords
Cite
@article{arxiv.1603.07349,
title = {On volumes of quasi-arithmetic hyperbolic lattices},
author = {Vincent Emery},
journal= {arXiv preprint arXiv:1603.07349},
year = {2018}
}
Comments
11 pages. Final version. To appear in Selecta math