English

Hyperbolicity of the complex of free factors

Group Theory 2014-01-23 v4 Geometric Topology

Abstract

We develop the geometry of folding paths in Outer space and, as an application, prove that the complex of free factors of a free group of finite rank is hyperbolic.

Keywords

Cite

@article{arxiv.1107.3308,
  title  = {Hyperbolicity of the complex of free factors},
  author = {Mladen Bestvina and Mark Feighn},
  journal= {arXiv preprint arXiv:1107.3308},
  year   = {2014}
}

Comments

bibliography updated, minor corrections, to appear in Advances in Mathematics