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Knots.
An introduction to classical knot theory. Topics covered include: different constructions of knots; knot diagrams; knot groups; fibred knots and branched coverings and knots. This edition has been revised to include the Jones and homfly polynomials and the Vassiliev invariants.
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Berlin :
Walter de Gruyter,
2002.
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| Series: | De Gruyter studies in mathematics.
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| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- de Gruyter Studies in Mathematics; Preface to the First Edition; Preface to the Second Edition; Contents; Chapter 1Knots and Isotopies; Chapter 2Geometric Concepts; Chapter 3Knot Groups; Chapter 4Commutator Subgroup of a Knot Group; Chapter 5Fibred Knots; Chapter 6A Characterization of Torus Knots; Chapter 7Factorization of Knots; Chapter 8Cyclic Coverings and Alexander Invariants; Chapter 9Free Differential Calculus and Alexander Matrices; Chapter 10Braids; Chapter 11Manifolds as Branched Coverings; Chapter 12Montesinos Links; Chapter 13Quadratic Forms of a Knot.
- Chapter 14Representations of Knot GroupsChapter 15Knots, Knot Manifolds, and Knot Groups; Chapter 16The 2-variable skein polynomial; Appendix AAlgebraic Theorems; Appendix BTheorems of 3-dimensional Topology; Appendix CTables; Appendix DKnot Projections 01-949; Bibliography; List of Authors According to Codes; Author Index; Subject Index.