English

Mather invariants in groups of piecewise-linear homeomorphisms

Group Theory 2014-01-10 v2 Dynamical Systems

Abstract

We describe the relation between two characterizations of conjugacy in groups of piecewise-linear homeomorphisms, discovered by Brin and Squier in [2] and Kassabov and Matucci in [5]. Thanks to the interplay between the techniques, we produce a simplified point of view of conjugacy that allows us to easily recover centralizers and lends itself to generalization.

Keywords

Cite

@article{arxiv.0811.2370,
  title  = {Mather invariants in groups of piecewise-linear homeomorphisms},
  author = {Francesco Matucci},
  journal= {arXiv preprint arXiv:0811.2370},
  year   = {2014}
}

Comments

8 pages, 4 diagrams, 1 figure; final version

R2 v1 2026-06-21T11:41:45.463Z