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