Indecomposable $F_N$-trees and minimal laminations
Group Theory
2011-10-18 v1 Dynamical Systems
Geometric Topology
Abstract
We extend the techniques of [CH] to build an inductive procedure for studying actions in the boundary of the Culler-Vogtmann Outer Space, the main novelty being an adaptation of he classical Rauzy-Veech induction for studying actions of surface type. As an application, we prove that a tree in the boundary of Outer space is free and indecomposable if and only if its dual lamination is minimal up to diagonal leaves. Our main result generalizes [BFH97, Proposition 1.8] as well as the main result of [KL11].
Keywords
Cite
@article{arxiv.1110.3506,
title = {Indecomposable $F_N$-trees and minimal laminations},
author = {Thierry Coulbois and Arnaud Hilion and Patrick Reynolds},
journal= {arXiv preprint arXiv:1110.3506},
year = {2011}
}
Comments
27 pages