Published October 2011
| Version Published
Journal Article
Open
Ziggurats and Rotation Numbers
Creators
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1.
University of Cambridge
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2.
California Institute of Technology
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.
Additional Information
© 2011 American Institute of Mathematical Sciences. Received: October 2011; Revised: November 2011; Published: March 2012. Communicated by Amie Wilkinson. Supported by NSF grant DMS 1005246. We would like to thank Kathryn Mann and Shigenori Matsumoto as well as the anonymous referee for some useful comments.Attached Files
Published - Calegari2011p17924J_Mod_Dynam.pdf
Files
Calegari2011p17924J_Mod_Dynam.pdf
Additional details
Identifiers
- Eprint ID
- 31249
- Resolver ID
- CaltechAUTHORS:20120501-104756665
Funding
- NSF
- DMS 1005246
Dates
- Created
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2012-05-01Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field