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Contracting orbits in Outer space
Dowdall, Spencer...
Contracting orbits in Outer space by Dowdall, Spencer ( Author )
Australian National University
07-09-2023
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 $\mathrm{Out}(\mathbb{F})$ has a quasi-isometric orbit map into the free factor complex. It also allows one to construct many new examples of strongly contracting geodesics in Outer space.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1502.04053
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