Published April 2011
| public
Journal Article
On fibered commensurability
- Creators
- Calegari, Danny
- Sun, Hongbin
- Wang, Shicheng
Abstract
This paper initiates a systematic study of the relation of commensurability of surface automorphisms, or equivalently, fibered commensurability of 3-manifolds fibering over S^1. We show that every hyperbolic fibered commensurability class contains a unique minimal element. The situation for toroidal manifolds is more complicated, and we illustrate a range of phenomena that can occur in this context.
Additional Information
© 2011 Pacific Journal of Mathematics. Received April 7, 2010. Accepted 21 June 2010. Published 31 March 2011. Calegari was partially supported by NSF grant DMS 0707130. Wang was supported by grant No. 10631060 of NSF of China and by Caltech Mathematics Department as a short term scholar. The content of this paper benefited from conversations with Juan Souto. We would like to thank the referee for some helpful suggestions.Additional details
- Eprint ID
- 23358
- DOI
- 10.2140/pjm.2011.250.287
- Resolver ID
- CaltechAUTHORS:20110418-113350448
- DMS 0707130
- NSF
- 10631060
- NSF of China
- Caltech Mathematics Dept.
- Created
-
2011-04-20Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field