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This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are...
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| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Group Author: | ; |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin/Boston : |
| Publication Dates: | [2013] |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter studies in mathematics;
5 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110270785 http://www.degruyter.com/doc/cover/9783110270785.jpg |
| Summary: |
This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known. |
| Carrier Form: |
1 online resource(ix,417 pages) : illustrations. Also available in print edition. |
| ISBN: | 9783110270785（electronic bk.） |
| Index Number: | QA612 |
| CLC: | O189.24 |
| Contents: |
Frontmatter -- Preface to the First Edition -- Preface to the Second Edition -- Preface to the Third Edition -- Contents -- Chapter 1: Knots and isotopies -- Chapter 2: Geometric concepts -- Chapter 3: Knot groups -- Chapter 4: Commutator subgroup of a knot group -- Chapter 5: Fibered knots -- Chapter 6: A characterization of torus knots -- Chapter 7: Factorization of knots -- Chapter 8: Cyclic coverings and Alexander invariants -- Chapter 9: Free differential calculus and Alexander matrices -- Chapter 10: Braids -- Chapter 11: Manifolds as branched coverings -- Chapter 12: Montesinos links -- Chapter 13: Quadratic forms of a knot -- Chapter 14: Representations of knot groups -- Chapter 15: Knots, knot manifolds, and knot groups -- Chapter 16: Bridge number and companionship -- Chapter 17: The 2-variable skein polynomial -- Appendix A: Algebraic theorems -- Appendix B: Theorems of 3-dimensional topology -- Appendix C: Table -- Appendix D: Knot projections 0 -- References -- Author index -- Glossary of Symbols -- Index. |