The topology at infinity of Out(Fn)

Mladen Bestvina; Mark Feighn

doi:10.1007/s002220000068

The topology at infinity of Out(F_n)

Mladen Bestvina, Mark Feighn

SASN Math & Computer Science

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

We construct a bordification of Outer Space analogous to the Borel-Serre bordification of symmetric spaces. As an application, we show that Out(F_n) is (2n - 5)-connected at infinity and that it is a virtual duality group of dimension 2n - 3.

Original language	English (US)
Pages (from-to)	651-692
Number of pages	42
Journal	Inventiones Mathematicae
Volume	140
Issue number	3
DOIs	https://doi.org/10.1007/s002220000068
State	Published - 2000

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s002220000068

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abstract = "We construct a bordification of Outer Space analogous to the Borel-Serre bordification of symmetric spaces. As an application, we show that Out(Fn) is (2n - 5)-connected at infinity and that it is a virtual duality group of dimension 2n - 3.",

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The topology at infinity of Out(F_n)

Abstract

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