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OverviewThis 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 DetailsAuthor: 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: 9789812381545ISBN 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 ![]() The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsContents: 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.ReviewsThe 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 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |