On hyperbolicity of free splitting and free factor complexes
Ilya Kapovich
University of Illinois at Urbana-Champaign, USAKasra Rafi
University of Oklahoma, Norman, USA
Abstract
We show how to derive hyperbolicity of the free factor complex of from the Handel–Mosher proof of hyperbolicity of the free splitting complex of , thus obtaining an alternative proof of a theorem of Bestvina–Feighn. We also show that under the natural map from the free splitting complex to free factor complex, a geodesic maps to a path that is uniformly Hausdorff-close to a geodesic .
Cite this article
Ilya Kapovich, Kasra Rafi, On hyperbolicity of free splitting and free factor complexes. Groups Geom. Dyn. 8 (2014), no. 2, pp. 391–414
DOI 10.4171/GGD/231