Continuous Interval Exchange Actions
Dynamical Systems
2014-10-01 v1
Abstract
Let E denote the group of all interval exchange transformations on [0,1). Given a suitable topological group structure on E, it is possible to classify all one-parameter interval exchange actions (continuous homomorphisms from R to E). In particular, up to conjugacy in E, any one-parameter interval exchange action factors through a rotational torus action.
Keywords
Cite
@article{arxiv.1007.1221,
title = {Continuous Interval Exchange Actions},
author = {Christopher F. Novak},
journal= {arXiv preprint arXiv:1007.1221},
year = {2014}
}
Comments
To appear in Algebraic & Geometric Topology; 16 pages, 6 figures