We study the Birman exact sequence for compact 3-manifolds.Comment: 33 pages, 1 figure. v2: Incorrect Lemma 6.21 replaced. Corollary 7.4
(now 7.5) strengthened. Other small changes in exposition. An alternative,
more algebraic, proof of Theorem 7.2 (with less exposition) is given in
arXiv:1404.368