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Pseudo-Anosov subgroups of general fibered 3-manifold groups (2204.04111v2)
Published 8 Apr 2022 in math.GT and math.GR
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.