Surface groups of diffeomorphisms of the interval
Geometric Topology
2017-09-14 v3 Dynamical Systems
Group Theory
Metric Geometry
Abstract
We prove that the group of diffeomorphisms of the interval contains surface groups whose action on has no global fix point, is topologically transitive, and such that only countably many points of the interval have non-trivial stabiliser.
Cite
@article{arxiv.1701.09019,
title = {Surface groups of diffeomorphisms of the interval},
author = {Ludovic Marquis and Juan Souto},
journal= {arXiv preprint arXiv:1701.09019},
year = {2017}
}
Comments
15 pages. Final Version accepted for publication