English

Hyperbolicity of the Cyclic Splitting Complex

Geometric Topology 2012-12-17 v2

Abstract

We define a new complex on which Out(Fn)Out(F_n) acts by simplicial automorphisms, the cyclic splitting complex of FnF_n, and show that it is hyperbolic using a method developed by Kapovich and Rafi.

Cite

@article{arxiv.1212.2986,
  title  = {Hyperbolicity of the Cyclic Splitting Complex},
  author = {Brian Mann},
  journal= {arXiv preprint arXiv:1212.2986},
  year   = {2012}
}

Comments

10 pages, 2 figures. Edited for typos and added contact information

R2 v1 2026-06-21T22:53:36.292Z