Geodesic
A better proof of the Goldman–Parker conjecture
Schwartz, Richard Evan1
1 Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA
Geometry & topology, Tome 9 (2005) no. 3, pp. 1539-1601.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2005.9.1539
Keywords: hyperbolic, complex reflection group, ideal triangle group, Goldman–Parker conjecture

Schwartz, Richard Evan 1

1 Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA 
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Schwartz, Richard Evan. A better proof of the Goldman–Parker conjecture. Geometry & topology, Tome 9 (2005) no. 3, pp. 1539-1601. doi : 10.2140/gt.2005.9.1539. http://geodesic.mathdoc.fr/articles/10.2140/gt.2005.9.1539/

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