A pr 2 00 7 DEFORMATION SPACES OF TREES

1 9 M ay 2 00 6 DEFORMATION SPACES OF TREES

Let G be a finitely generated group. Two simplicial G-trees are said to be in the same deformation space if they have the same elliptic subgroups (if H fixes a point in one tree, it also does in the other). Examples include Culler-Vogtmann’s outer space, and spaces of JSJ decompositions. We discuss what features are common to trees in a given deformation space, how to pass from one tree to all ...

2 9 A pr 2 00 4 EQUIVARIANT EMBEDDINGS OF TREES INTO HYPERBOLIC SPACES

A pr 2 00 4 EQUIVARIANT EMBEDDINGS OF TREES INTO HYPERBOLIC SPACES

ar X iv : 0 90 4 . 31 78 v 1 [ m at h . FA ] 2 1 A pr 2 00 9 TREE METRICS AND THEIR LIPSCHITZ - FREE SPACES

We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of L1.

ar X iv : m at h / 05 04 55 2 v 1 [ m at h . N T ] 2 7 A pr 2 00 5 Multiple logarithms , algebraic cycles and trees

This is a short exposition—mostly by way of the toy models " double logarithm " and " triple logarithm " —which should serve as an introduction to the article [3] in which we establish a connection between multiple polylogarithms, rooted trees and algebraic cycles.