Chapter 15. Knots, Knot Manifolds, and Knot Groups

Chapters in this book

1. Frontmatter i
2. Contents ix
3. Chapter 1. Knots and Isotopies 1
4. Chapter 2. Geometric Concepts 15
5. Chapter 3. Knot Groups 30
6. Chapter 4. Commutator Subgroup of a Knot Group 52
7. Chapter 5. Fibred Knots 68
8. Chapter 6. A Characterization of Torus Knots 79
9. Chapter 7. Factorization of Knots 91
10. Chapter 8. Cyclic Coverings and Alexander Invariants 103
11. Chapter 9. Free Differential Calculus and Alexander Matrices 125
12. Chapter 10. Braids 142
13. Chapter 11. Manifolds as Branched Coverings 172
14. Chapter 12. Montesinos Links 189
15. Chapter 13. Quadratic Forms of a Knot 219
16. Chapter 14. Representations of Knot Groups 249
17. Chapter 15. Knots, Knot Manifolds, and Knot Groups 282
18. Chapter 16. The 2-variable skein polynomial 312
19. Appendix A. Algebraic Theorems 325
20. Appendix B. Theorems of 3-dimensional Topology 331
21. Appendix C. Tables 335
22. Appendix D. Knot Projections 01-949 363
23. Backmatter 367