Work

A survey on mapping class groups of 3-manifolds

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.00233

Authors: Bader, Philipp, Boyd, Rachael, Carfora, Giulia, Corrigan, Gabriel, Galvin, Daniel, Nagy, Csaba, Nicholson, John, Niu, Weizhe, Nonino, Isacco, Pencovitch, Mark, Powell, Mark

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7206202693

Cites: 6

Cited by:

Related to: 10