English

A better proof of the Goldman-Parker conjecture

Group Theory 2014-11-11 v1 Geometric Topology

Abstract

The Goldman-Parker Conjecture classifies the complex hyperbolic C-reflection ideal triangle groups up to discreteness. We proved the Goldman-Parker Conjecture in [Ann. of Math. 153 (2001) 533--598] using a rigorous computer-assisted proof. In this paper we give a new and improved proof of the Goldman-Parker Conjecture. While the proof relies on the computer for extensive guidance, the proof itself is traditional.

Keywords

Cite

@article{arxiv.math/0508202,
  title  = {A better proof of the Goldman-Parker conjecture},
  author = {Richard Evan Schwartz},
  journal= {arXiv preprint arXiv:math/0508202},
  year   = {2014}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper35.abs.html