Groups, Geometry, and Dynamics


Full-Text PDF (289 KB) | Table of Contents | GGD summary
Volume 4, Issue 1, 2010, pp. 31–58
DOI: 10.4171/GGD/74

A hyperbolic Out(Fn)-complex

Mladen Bestvina[1] and Mark Feighn[2]

(1) Department of Mathematics, University of Utah, 155 South 1400 East, JWB 233, UT 84112-0090, SALT LAKE CITY, UNITED STATES
(2) Department of Mathematics and Computer Science, Rutgers University, 101 Warren Street, NJ 07102, NEWARK, UNITED STATES

For any finite collection fi of fully irreducible automorphisms of the free group Fn we construct a connected δ-hyperbolic Out(Fn)-complex in which each fi has positive translation length.

Keywords: Outer space, measured geodesic currents

Bestvina M, Feighn M. A hyperbolic Out(Fn)-complex. Groups Geom. Dyn. 4 (2010), 31-58. doi: 10.4171/GGD/74