Hyperbolicity of the complex of free factors

Mladen Bestvina; Mark Feighn

doi:10.1016/j.aim.2014.02.001

Hyperbolicity of the complex of free factors

Mladen Bestvina, Mark Feighn

SASN Math & Computer Science

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

62 Scopus citations

Abstract

We develop the geometry of folding paths in Outer space and, as an application, prove that the complex of free factors of a free group of finite rank is hyperbolic.

Original language	English (US)
Pages (from-to)	104-155
Number of pages	52
Journal	Advances in Mathematics
Volume	256
DOIs	https://doi.org/10.1016/j.aim.2014.02.001
State	Published - May 1 2014

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

Hyperbolicity complex free factors

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10.1016/j.aim.2014.02.001

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title = "Hyperbolicity of the complex of free factors",

abstract = "We develop the geometry of folding paths in Outer space and, as an application, prove that the complex of free factors of a free group of finite rank is hyperbolic.",

keywords = "Hyperbolicity complex free factors",

author = "Mladen Bestvina and Mark Feighn",

note = "Funding Information: Both authors gratefully acknowledge the support by the National Science Foundation . ",

year = "2014",

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doi = "10.1016/j.aim.2014.02.001",

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AU - Bestvina, Mladen

AU - Feighn, Mark

N1 - Funding Information: Both authors gratefully acknowledge the support by the National Science Foundation .

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Y1 - 2014/5/1

N2 - We develop the geometry of folding paths in Outer space and, as an application, prove that the complex of free factors of a free group of finite rank is hyperbolic.

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JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

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Hyperbolicity of the complex of free factors

Abstract

All Science Journal Classification (ASJC) codes

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