The free splitting complex of a free group, I: Hyperbolicity

Michael Handel, Lee Mosher

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


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

Original languageEnglish (US)
Pages (from-to)1581-1670
Number of pages90
JournalGeometry and Topology
Issue number3
StatePublished - Jun 21 2013

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


  • Free splitting complex
  • Outer automorphism group of a free group


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