Geodesic
An alternative approach to extending pseudo-Anosovs over compression bodies
Ackermann, Robert1
1Department of Mathematics, University of California, Santa Barbara, Santa Barbara, CA 93106-3080, USA
Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 2383-2391
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Biringer, Johnson, and Minsky proved that any pseudo-Anosov whose stable lamination is the limit of disks in a compression body has a power which extends over some non-trivial minimal compression body. This paper presents an alternative proof of their theorem. The key ingredient is the existence of a certain collection of disks whose boundaries are formed from an arc of the stable lamination and an arc of the unstable lamination. The proof here also shows that there are only finitely many minimal compression bodies over which a power of a pseudo-Anosov can extend.

DOI : 10.2140/agt.2015.15.2383
Classification : 57M99
Keywords: pseudo-Anosov, compression bodies

Ackermann, Robert  1

1 Department of Mathematics, University of California, Santa Barbara, Santa Barbara, CA 93106-3080, USA 
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Ackermann, Robert. An alternative approach to extending pseudo-Anosovs over compression bodies. Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 2383-2391. doi: 10.2140/agt.2015.15.2383

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