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Michael Handel, Lee Mosher, The free splitting complex of a free group, I : hyperbolicity , Geom · 2013

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math.GR 1

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The Pants Graph of a Free Group

math.GR · 2024-10-20 · unverdicted · novelty 6.0

Introduces the pants graph of a free group as a simplicial graph on pants decompositions, proves it is connected and unbounded via a coarsely surjective Out(F_n) orbit map and a coarsely Lipschitz map to the free splitting complex.

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  • The Pants Graph of a Free Group math.GR · 2024-10-20 · unverdicted · none · ref 8

    Introduces the pants graph of a free group as a simplicial graph on pants decompositions, proves it is connected and unbounded via a coarsely surjective Out(F_n) orbit map and a coarsely Lipschitz map to the free splitting complex.