Jonathan Hillman is an Honorary Associate in the School of Mathematics and Statistics at the University of Sydney. Although an algebraist by nature, he works primarily in low-dimensional topology, and has authored books on links in S3, 2-knots, geometric 4-manifolds and PD3-complexes. His previous books with Cambridge University Press include '2-knots and their Groups' (1989) and 'The Algebraic Characterization of Geometric 4-Manifolds' (1994).

• 1. Preliminaries; 2. Invariants and constructions; 3. 3-manifolds with S1-actions; 4. Seifert manifolds with non-orientable base orbifolds; 5. Smooth embeddings; 6. 3-manifolds with restrained fundamental group; 7. The complementary regions; 8. Abelian embeddings; 9. Nilpotent embeddings; Appendix A. The linking pairings of orientable Seifert manifolds; Appendix B. Homologically balanced nilpotent groups; Appendix C. Some questions; References; Index.

Jonathan Hillman is an Honorary Associate in the School of Mathematics and Statistics at the University of Sydney. Although an algebraist by nature, he works primarily in low-dimensional topology, and has authored books on links in S3, 2-knots, geometric 4-manifolds and PD3-complexes. His previous books with Cambridge University Press include '2-knots and their Groups' (1989) and 'The Algebraic Characterization of Geometric 4-Manifolds' (1994).

• 1. Preliminaries; 2. Invariants and constructions; 3. 3-manifolds with S1-actions; 4. Seifert manifolds with non-orientable base orbifolds; 5. Smooth embeddings; 6. 3-manifolds with restrained fundamental group; 7. The complementary regions; 8. Abelian embeddings; 9. Nilpotent embeddings; Appendix A. The linking pairings of orientable Seifert manifolds; Appendix B. Homologically balanced nilpotent groups; Appendix C. Some questions; References; Index.