The free splitting complex of a free group I: Hyperbolicity
Michael Handel, Lee Mosher
TL;DR
This paper proves that the free splitting complex of a finite rank free group, also called Hatcher's sphere complex, exhibits hyperbolic geometry, contributing to the understanding of its geometric properties.
Contribution
It establishes the hyperbolicity of the free splitting complex for finite rank free groups, a significant step in geometric group theory.
Findings
The free splitting complex is hyperbolic.
Provides new insights into the geometric structure of free groups.
Supports further research in group actions on hyperbolic spaces.
Abstract
We prove that the free splitting complex of a finite rank free group, also known as Hatcher's sphere complex, is hyperbolic.
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