Knots
:
Gerhard Burde, Heiner Zieschang, Michael Heusener
:
Knots
:
Walter de Gruyter GmbH& Co.KG
:
9783110270785
:
De Gruyter Studies in MathematicsISSN
:
1
:
CHF 150.00
:
:
Allgemeines, Lexika
:
English
:
426
:
Wasserzeichen/DRM
:
PC/MAC/eReader/Tablet
:
PDF
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.
Gerhard Burde
, Goethe University Frankfurt am Main, Germany;
Heiner Zieschang
†;
Michael Heusener, Blaise Pascal University, France.< body>
Preface to the First Edition
5
Preface to the Second Edition
7
Preface to the Third Edition
8
Contents
9
Chapter 1: Knots and isotopies
15
Chapter 2: Geometric concepts
30
Chapter 3: Knot groups
44
Chapter 4: Commutator subgroup of a knot group
68
Chapter 5: Fibered knots
85
Chapter 6: A characterization of torus knots
99
Chapter 7: Factorization of knots
111
Chapter 8: Cyclic coverings and Alexander invariants
125
Chapter 9: Free differential calculus and Alexander matrices
154
Chapter 10: Braids
175
Chapter 11: Manifolds as branched coverings
205
Chapter 12: Montesinos links
222
Chapter 13: Quadratic forms of a knot
252
Chapter 14: Representations of knot groups
280
Chapter 15: Knots, knot manifolds, and knot groups
315
Chapter 16: Bridge number and companionship
348
Chapter 17: The 2-variable skein polynomial
367
Appendix A: Algebraic theorems
379
Appendix B: Theorems of 3-dimensional topology
385
Appendix C: Table
389
Appendix D: Knot projections 0
389
Appendix D: Knot projections 0
389
Appendix D: Knot projections 0
389
Appendix D: Knot projections 0
389
Appendix D: Knot projections 0
389
Appendix D: Knot projections 0
389
Appendix D: Knot projections 0
389
Appendix D: Knot projections 0
389
398
389
References
401
Author index
421
Glossary of Symbols
425
Index
427
