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Preface to the Third Edition
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Kapitel in diesem Buch
- Frontmatter i
- Preface to the First Edition v
- Preface to the Second Edition vii
- Preface to the Third Edition viii
- Contents ix
- Chapter 1: Knots and isotopies 1
- Chapter 2: Geometric concepts 16
- Chapter 3: Knot groups 30
- Chapter 4: Commutator subgroup of a knot group 54
- Chapter 5: Fibered knots 71
- Chapter 6: A characterization of torus knots 85
- Chapter 7: Factorization of knots 97
- Chapter 8: Cyclic coverings and Alexander invariants 111
- Chapter 9: Free differential calculus and Alexander matrices 140
- Chapter 10: Braids 161
- Chapter 11: Manifolds as branched coverings 191
- Chapter 12: Montesinos links 208
- Chapter 13: Quadratic forms of a knot 238
- Chapter 14: Representations of knot groups 266
- Chapter 15: Knots, knot manifolds, and knot groups 301
- Chapter 16: Bridge number and companionship 334
- Chapter 17: The 2-variable skein polynomial 353
- Appendix A: Algebraic theorems 365
- Appendix B: Theorems of 3-dimensional topology 371
- Appendix C: Table 375
- Appendix D: Knot projections 01–949 384
- References 387
- Author index 407
- Glossary of Symbols 411
- Index 413
Kapitel in diesem Buch
- Frontmatter i
- Preface to the First Edition v
- Preface to the Second Edition vii
- Preface to the Third Edition viii
- Contents ix
- Chapter 1: Knots and isotopies 1
- Chapter 2: Geometric concepts 16
- Chapter 3: Knot groups 30
- Chapter 4: Commutator subgroup of a knot group 54
- Chapter 5: Fibered knots 71
- Chapter 6: A characterization of torus knots 85
- Chapter 7: Factorization of knots 97
- Chapter 8: Cyclic coverings and Alexander invariants 111
- Chapter 9: Free differential calculus and Alexander matrices 140
- Chapter 10: Braids 161
- Chapter 11: Manifolds as branched coverings 191
- Chapter 12: Montesinos links 208
- Chapter 13: Quadratic forms of a knot 238
- Chapter 14: Representations of knot groups 266
- Chapter 15: Knots, knot manifolds, and knot groups 301
- Chapter 16: Bridge number and companionship 334
- Chapter 17: The 2-variable skein polynomial 353
- Appendix A: Algebraic theorems 365
- Appendix B: Theorems of 3-dimensional topology 371
- Appendix C: Table 375
- Appendix D: Knot projections 01–949 384
- References 387
- Author index 407
- Glossary of Symbols 411
- Index 413