Volume 9, issue 3 (2005)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Author Index Editorial procedure Submission Guidelines Submission Page Author copyright form Subscriptions Contacts G&T Publications Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060
A better proof of the Goldman–Parker conjecture

Richard Evan Schwartz

Geometry & Topology 9 (2005) 1539–1601
 arXiv: math.GR/0508202
Abstract

The Goldman–Parker Conjecture classifies the complex hyperbolic $ℂ$–reflection ideal triangle groups up to discreteness. We proved the Goldman–Parker Conjecture in an earlier paper 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
hyperbolic, complex reflection group, ideal triangle group, Goldman–Parker conjecture
Mathematical Subject Classification 2000
Primary: 20F67
Secondary: 20F65, 20F55