The Birman exact sequence for 3-manifolds
Geometric Topology
2018-07-17 v2
Abstract
We study the Birman exact sequence for compact --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.
Keywords
Cite
@article{arxiv.1404.3689,
title = {The Birman exact sequence for 3-manifolds},
author = {Jessica E. Banks},
journal= {arXiv preprint arXiv:1404.3689},
year = {2018}
}
Comments
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)