Knots and Everything

By: Jonathan Hillman

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Hardcover | 9 October 2002

At a Glance

Hardcover
320 Pages

Dimensions(cm)
23.57 x 16.2 x 2.16

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Published: 19th June 2012

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This volume is intended as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes features of the multicomponent case not normally considered by knot theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, free coverings of homology boundary links, the fact that links are not usually boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology.

Industry Reviews

Algebraic Invariants of Links is masterful, offering a survey of work, much of which has not been summarized elsewhere. It is an essential reference for those interested in link theory it is unique and valuable. -- Bulletin of the American Mathematical Society "Bulletin of the American Mathematical Society"
The author, who is one of the major experts on the topic, must be surely congratulated for this attractive book, written in a careful, very precise and quite readable style. It serves as an excellent self-contained and up-to-date monograph on the algebraic invariants of links. -- Mathematics Abstracts "Mathematics Abstracts"

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Non-Fiction Mathematics Groups & Group Theory Topology Algebraic Topology Geometry Medicine Medicine in General Algebra Number Theory Booktopia Publisher Services World Scientific Publishing

Preface
Abelian Covers	p. 1
Links	p. 3
Homology and Duality in Covers	p. 27
Determinantal Invariants	p. 47
The Maximal Abelian Cover	p. 69
Sublinks and Other Abelian Covers	p. 95
Applications: Special Cases and Symmetries	p. 129
Knot Modules	p. 131
Links with Two Components	p. 149
Symmetries	p. 171
Free Covers, Nilpotent Quotients and Completion	p. 201
Free Covers	p. 203
Nilpotent Quotients	p. 227
Algebraic Closure	p. 247
Disc Links	p. 261
Bibliography	p. 277
Index	p. 299
Table of Contents provided by Blackwell. All Rights Reserved.

Knots and Everything

At a Glance

New Edition

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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