A survey on mapping class groups of 3-manifolds
Philipp Bader, Rachael Boyd, Giulia Carfora, Gabriel Corrigan, Daniel Galvin, Csaba Nagy, John Nicholson, Weizhe Niu, Isacco Nonino, Mark Pencovitch, Mark Powell
Abstract
We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold M. We provide a guide to the literature and sketch proofs for various families of irreducible and geometric 3-manifolds. We also consider JSJ and prime decompositions of 3-manifolds, and consequences for their mapping class groups.
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