Contracting orbits in Outer space

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Contracting orbits in Outer space

We show that strongly contracting geodesics in Outer space project to parameterized quasigeodesics in the free factor complex. This result provides a converse to a theorem of Bestvina– Feighn, and is used to give conditions for when a subgroup of Out(F) has a quasi-isometric orbit map into the free factor complex. It also allows one to construct many new examples of strongly contracting geodesi...

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2019

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s00209-019-02227-7