research

The Birman exact sequence for 3-manifolds

Abstract

We study the Birman exact sequence for compact 33--manifolds, obtaining a complete picture of the relationship between the mapping class group of the manifold and the mapping class group of the submanifold obtained by deleting an interior point. This covers both orientable manifolds and non-orientable ones.Comment: 30 pages, no figures. v2: Major re-write following referee suggestions. To appear in Bull. Lond. Math. Soc.; v1: This paper gives an alternative, more algebraic, proof of the main result of arXiv:1310.7884 (with less exposition

    Similar works