Knots

Gerhard Burde, Heiner Zieschang (Autoren)

Media-Kombination

XII, 559 Seiten | Ausstattung: Hardcover & eBook

2002 | 2nd revised and extended ed. 2003
De Gruyter
978-3-11-916064-3 (ISBN)

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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 differential calculus, braids, branched coverings and knots, Montesinos links, representations of knot groups, surgery of 3-manifolds and knots. Knot theory has expanded enormously since the first edition of this book published in 1985. A special feature of this second completely revised and extended edition is the introduction to two new constructions of knot invariants, namely the Jones and homfly polynomials and the Vassiliev invariants. The book 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. The text is accessible to advanced undergraduate and graduate students in mathematics.

Reihe/Serie	De Gruyter Studies in Mathematics ; 5
Zusatzinfo	Includes a print version and an ebook
Verlagsort	Berlin
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Knoten • Knoten (Math.) • knot theory • N - ds, Théorie des
ISBN-10	3-11-916064-4 / 3119160644
ISBN-13	978-3-11-916064-3 / 9783119160643
Zustand	Neuware