Ideal triangle groups, dented tori, and numerical analysis
Differential Geometry
2009-09-25 v1
Abstract
We prove the Goldman-Parker Conjecture: A complex hyperbolic ideal triangle group is directly embedded in PU(2,1) if and only if the product of its three standard generators is not elliptic. We also prove that such a group is indiscrete if the product of its three standard generators is elliptic. A novel feature of this paper is that it uses a rigorous computer assisted proof to deal with difficult geometric estimates.
Cite
@article{arxiv.math/0105264,
title = {Ideal triangle groups, dented tori, and numerical analysis},
author = {Richard Evan Schwartz},
journal= {arXiv preprint arXiv:math/0105264},
year = {2009}
}
Comments
66 pages, published version