Pseudo-Anosov subgroups of general fibered 3–manifold groups

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2023
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American Mathematical Society
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We show that finitely generated and purely pseudo-Anosov subgroups of fundamental groups 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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Leininger, C., & Russell, J. (2023). Pseudo-Anosov subgroups of general fibered 3–manifold groups. Transactions of the American Mathematical Society, Series B, 10(32), 1141–1172. https://doi.org/10.1090/btran/157

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