Global Rigidity of Some Abelian-by-Cyclic group actions on $\T^2$
Dynamical Systems
2021-12-08 v2 Group Theory
Abstract
For groups of diffeomorphisms of containing an Anosov diffeomorphism, we give a complete classification for polycyclic Abelian-by-Cyclic group actions on up to both topological conjugacy and smooth conjugacy under mild assumptions. Along the way, we also prove a Tits alternative type theorem for some groups of diffeomorphisms of .
Keywords
Cite
@article{arxiv.1909.10112,
title = {Global Rigidity of Some Abelian-by-Cyclic group actions on $\T^2$},
author = {Sebastian Hurtado and Jinxin Xue},
journal= {arXiv preprint arXiv:1909.10112},
year = {2021}
}
Comments
To appear in Geometry & Topology, revisions according to the referee report from he old version titled "A Tits alternative for surface group diffeomorphisms and Abelian-by-Cyclic actions on surfaces containing an Anosov diffeomorphism"