The free splitting complex of a free group I: Hyperbolicity
Group Theory
2014-11-11 v2 Geometric Topology
Abstract
We prove that the free splitting complex of a finite rank free group, also known as Hatcher's sphere complex, is hyperbolic.
Keywords
Cite
@article{arxiv.1111.1994,
title = {The free splitting complex of a free group I: Hyperbolicity},
author = {Michael Handel and Lee Mosher},
journal= {arXiv preprint arXiv:1111.1994},
year = {2014}
}
Comments
85 pages, including index and glossary. Many figures in the free splitting complex, in the guise of commutative diagrams of maps between free splittings. Changes from Version 1 to Version 2: Corrected an error in the proof of Proposition 6.5, Step 2. Revamped the theory of free splitting units in Section 5