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• W1517769886 abstract "We study the large scale geometry of the relative free splitting complex and the relative complex of free factor systems of the rank $n$ free group $F_n$, relative to the choice of a free factor system of $F_n$, proving that these complexes are hyperbolic. Furthermore we present the proof in a general context, obtaining hyperbolicity of the relative free splitting complex and of the relative complex of free factor systems of a general group $Gamma$, relative to the choice of a free factor system of $Gamma$. The proof yields information about coarsely transitive families of quasigeodesics in each of these complexes, expressed in terms of fold paths of free splittings." @default.
• W1517769886 created "2016-06-24" @default.
• W1517769886 creator A5043681655 @default.
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• W1517769886 date "2014-07-13" @default.
• W1517769886 modified "2023-09-27" @default.
• W1517769886 title "Relative free splitting and free factor complexes I: Hyperbolicity" @default.
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