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The free splitting complex of a free group, I Hyperbolicity

Michael Handel and Lee Mosher
Geometry & Topology 17 (2013) 1581–1670
DOI: 10.2140/gt.2013.17.1581
Abstract

We prove that the free splitting complex of a finite rank free group, also known as Hatcher’s sphere complex, is hyperbolic.

Keywords
free splitting complex, outer automorphism group of a free group
Mathematical Subject Classification 2010
Primary: 20F65
Secondary: 57M07
References
Publication
Received: 16 March 2012
Revised: 16 January 2013
Accepted: 5 March 2013
Published: 21 June 2013
Proposed: David Gabai
Seconded: Danny Calegari, Walter Neumann
Authors
Michael Handel
Mathematics & Computer Science Department
Herbert H Lehman College (CUNY)
Bronx, NY 10468-1589
USA
Lee Mosher
Department of Mathematics and Computer Science
Rutgers University, Newark
Newark, NJ 07102
USA