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arxiv: 1212.2986 · v2 · pith:4XCF6RDXnew · submitted 2012-12-12 · 🧮 math.GT

Hyperbolicity of the Cyclic Splitting Complex

classification 🧮 math.GT
keywords complexcyclicsplittingactsautomorphismsdefinedevelopedhyperbolic
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We define a new complex on which $Out(F_n)$ acts by simplicial automorphisms, the cyclic splitting complex of $F_n$, and show that it is hyperbolic using a method developed by Kapovich and Rafi.

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