Pseudo-Anosov subgroups of general fibered 3-manifold groups
Geometric Topology
2023-04-05 v2 Group Theory
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.
Keywords
Cite
@article{arxiv.2204.04111,
title = {Pseudo-Anosov subgroups of general fibered 3-manifold groups},
author = {Christopher J. Leininger and Jacob Russell},
journal= {arXiv preprint arXiv:2204.04111},
year = {2023}
}
Comments
Minor improvements in response to referee comments. Version to appear in the Transactions of the AMS