Pseudo-Anosov subgroups of general fibered 3-manifold groups

Christopher J. Leininger; Jacob Russell

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arXiv · 2204.04111

Pseudo-Anosov subgroups of general fibered 3-manifold groups

Christopher J. Leininger·Jacob Russell

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Abstract

We show that finitely generated and purely pseudo-Anosov subgroups of fibered 3-manifolds with reducible monodromy are convex cocompact as subgroups of the mapping class group via the Birman exact sequence. Combined with results of Dowdall--Kent--Leininger and Kent--Leininger--Schleimer, this establishes the result for the image of all such fibered 3-manifold groups in the mapping class group.

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Christopher J. Leininger, Jacob Russell. 2022-04-08. Pseudo-Anosov subgroups of general fibered 3-manifold groups. https://arxiv.org/abs/2204.04111

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