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Ranks of mapping tori via the curve complex

Ian Biringer and Juan Souto

Abstract

We show that if ϕ is a homeomorphism of a closed, orientable surface of genus g, and ϕ has large translation distance in the curve complex, then the fundamental group of the mapping torus Mϕ has rank 2g+1.

Funding source: National Science Foundation

Award Identifier / Grant number: DMS-5001860

Funding statement: The first author was partially supported by NSF grant DMS-5001860.

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Received: 2014-11-22
Revised: 2016-04-02
Published Online: 2016-08-16
Published in Print: 2019-03-01

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