Knots /

Knots / / Gerhard Burde, Heiner Zieschang.

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This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free diff...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Burde, Gerhard,
Zieschang, Heiner,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2008]
©2002
Year of Publication:2008
Edition:2nd revised and extended ed. 2003
Language:English
Series:De Gruyter Studies in Mathematics , 5
Online Access:
Physical Description:1 online resource (559 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Chapter 1. Knots and Isotopies
  • Chapter 2. Geometric Concepts
  • Chapter 3. Knot Groups
  • Chapter 4. Commutator Subgroup of a Knot
  • Group
  • Chapter 5. Fibred 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. The 2-variable skein polynomial
  • Appendix A. Algebraic Theorems
  • Appendix B. Theorems of 3-dimensional
  • Topology
  • Appendix C. Tables
  • Appendix D. Knot Projections 01-949
  • Backmatter

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