Ziggurats and rotation numbers
Dynamical Systems
2012-03-19 v4 Group Theory
Geometric Topology
Abstract
We establish the existence of new rigidity and rationality phenomena in the theory of nonabelian group actions on the circle, and introduce tools to translate questions about the existence of actions with prescribed dynamics into finite combinatorics. A special case of our theory gives a very short new proof of Naimi's theorem (i.e. the conjecture of Jankins-Neumann) which was the last step in the classification of taut foliations of Seifert fibered spaces.
Keywords
Cite
@article{arxiv.1110.0080,
title = {Ziggurats and rotation numbers},
author = {Danny Calegari and Alden Walker},
journal= {arXiv preprint arXiv:1110.0080},
year = {2012}
}
Comments
32 pages, 9 figures; v4: incorporates referee's comments