On the geometry of Outer space

Vogtmann, Karen

doi:10.1090/S0273-0979-2014-01466-1

On the geometry of Outer space

Author: Karen Vogtmann
Journal: Bull. Amer. Math. Soc. 52 (2015), 27-46
MSC (2010): Primary 20F65
DOI: https://doi.org/10.1090/S0273-0979-2014-01466-1
Published electronically: August 19, 2014
MathSciNet review: 3286480
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Abstract: Outer space is a space of graphs used to study the group $\mathrm {Out}(F_n)$ of outer automorphisms of a finitely generated free group. We discuss an emerging metric theory for Outer space and some applications to $\mathrm {Out}(F_n)$.

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