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On fibered
commensurability
Danny Calegari, Hongbin Sun and Shicheng Wang |
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Vol. 250 (2011), No. 2, 287–317
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Abstract |
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This paper initiates a systematic study of the relation of commensurability of surface automorphisms, or equivalently, fibered commensurability of 3-manifolds fibering over S1. 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. |
Keywords
commensurability, fibration, 3-manifold, mapping class
group
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Mathematical Subject Classification 2000
Primary: 57M50
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Milestones
Received: 7 April 2010
Accepted: 21 June 2010
Published: 31 March 2011
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Authors |
| Danny Calegari | |
| Department of Mathematics California Insitute of Technology Pasadena CA 91125 United States |
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| http://www.its.caltech.edu/~dannyc | |
| Hongbin Sun | |
| Department of Mathematics Princeton University Fine Hall, Room 304 Washington Road Princeton NJ 08544 United States |
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| Shicheng Wang | |
| School of Mathematical
Sciences Peking University Beijing, 100871 China |
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