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- W4302023250 abstract "We study the asymmetry of the Lipschitz metric d on Outer space. We introduce an (asymmetric) Finsler norm that induces d. There is an Out(F_n)-invariant potential Psi on Outer space such that when the Lipschitz norm is corrected by the derivative of Psi, the resulting norm is quasisymmetric. As an application, we give new proofs of two theorems of Handel-Mosher, that the Lipschitz metric is quasi-symmetric when restricted to a thick part of Outer space, and that there is a uniform bound, depending only on the rank, on the ratio of logs of growth rates of any irreducible outer automorphism f in Out(F_n) and its inverse." @default.
- W4302023250 created "2022-10-06" @default.
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- W4302023250 date "2009-10-28" @default.
- W4302023250 modified "2023-10-16" @default.
- W4302023250 title "Asymmetry of Outer Space" @default.
- W4302023250 doi "https://doi.org/10.48550/arxiv.0910.5408" @default.
- W4302023250 hasPublicationYear "2009" @default.
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