English

$\R$-trees and laminations for free groups III: Currents and dual $\R$-tree metrics

Group Theory 2014-02-26 v1

Abstract

This is the third of a series of three articles where we introduce laminations for the free-groups. We explore here the link between currents and laminations and prove that the situation is more complicated than in the surface case of real tree dual to a measured geodesic lamination.

Keywords

Cite

@article{arxiv.0706.0677,
  title  = {$\R$-trees and laminations for free groups III: Currents and dual $\R$-tree metrics},
  author = {Thierry Coulbois and Arnaud Hilion and Martin Lustig},
  journal= {arXiv preprint arXiv:0706.0677},
  year   = {2014}
}