Overview

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.

Full Product Details

Author:   Jonathan Hillman (Univ Of Sydney, Australia)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   32
Dimensions:   Width: 16.20cm , Height: 2.20cm , Length: 23.00cm
Weight:   0.585kg
ISBN:  

9789812381545

ISBN 10:   9812381546
Pages:   320
Publication Date:   09 October 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Contents: Abelian Covers: Links; Homology and Duality in Covers; Determinantal Invariants; The Maximal Abelian Cover; Sublinks and Other Abelian Covers; Applications: Special Cases and Symmetries: Knot Modules; Links with Two Components; Symmetries; Free Covers, Nilpotent Quotients and Completion: Free Covers; Nilpotent Quotients; Algebraic Closure; Disc Links.

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

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

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 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

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