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## Geometry of the Space of Phylogenetic Trees

- L. Billera, S. Holmes, K. Vogtmann
- MathematicsAdv. Appl. Math.
- 2001

We consider a continuous space which models the set of all phylogenetic trees having a fixed set of leaves. This space has a natural metric of nonpositive curvature, giving a way of measuring… Expand

## Moduli of graphs and automorphisms of free groups

- M. Culler, K. Vogtmann
- Mathematics
- 1 February 1986

This paper represents the beginning of an a t tempt to transfer, to the study of outer au tomorphisms of free groups, the powerful geometric techniques that were invented by Thurs ton to study… Expand

## Cerf Theory for Graphs

- A. Hatcher, K. Vogtmann
- Mathematics
- 1 December 1998

We develop a deformation theory for k‐parameter families of pointed marked graphs with fixed fundamental group Fn. Applications include a simple geometric proof of stability of the rational homology… Expand

## On a theorem of Kontsevich

- J. Conant, K. Vogtmann
- Mathematics
- 22 August 2002

In [12] and [13], M. Kontsevich introduced graph homology as a tool to compute the homology of three infinite dimensional Lie algebras, associated to the three operads "commutative," "associative"… Expand

## The Complex of Free Factors of a Free Group

- A. Hatcher, K. Vogtmann
- Mathematics
- 1 December 1998

We show that the geometric realization of the partially ordered set of proper free factors in a finitely generated free group of rank n is homotopy equivalent to a wedge of spheres of dimension n− 2.… Expand

## RATIONAL HOMOLOGY OF AUT ( F n )

- A. Hatcher, K. Vogtmann
- Mathematics
- 1998

In [7] a space An was introduced on which the group Aut(Fn) of automorphisms of a free group of rank n acts with finite stabilizers. An is a basepointed version of the “Outer space” introduced in [3]… Expand

## Local structure of some Out(Fn)-complexes

- K. Vogtmann
- MathematicsProceedings of the Edinburgh Mathematical Society
- 1 October 1990

In previous work of the author and M. Culler, contractible simplicial complexes were constructed on which the group of outer automorphisms of a free group of finite rank acts with finite stabilizers… Expand

## The integral homology ofSL2 andPSL2 of euclidean imaginary quadratic integers

- J. Schwermer, K. Vogtmann
- Mathematics
- 1 December 1983

One way to study the cohomology of a group T of finite virtual cohomological dimension is to find a finite dimensional contractible space X on which F acts properly (such a space X always exists by… Expand

## Automorphisms of Free Groups and Outer Space

- K. Vogtmann
- Mathematics
- 1 October 2002

This is a survey of recent results in the theory of automorphism groups of finitely-generated free groups, concentrating on results obtained by studying actions of these groups on Outer space and its… Expand

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