Algebraic Invariants of Links

Algebraic Invariants of Links

eBook - 2012
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World Scientific Pub Co Inc
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology 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.This second edition introduces two new chapters — twisted polynomial invariants and singularities of plane curves. Each replaces

Book News
Hillman (U. of Sydney, Australia) provides an introduction to links; a reference to the invariants of abelian coverings of link exteriors; and an outline of recent work related to free coverings, nilpotent quotients, and concordance. Readers are assumed to know some algebraic and geometric topology and some commutative algebra. This edition integrates innovations during the past decade, primarily in twisted polynomial invariants, singularities of plane curves, knot modules, and nilpotent quotients. Other topics include homology and duality in covers, the maximal abelian cover, symmetries, free covers, and disc links. Annotation ©2013 Book News, Inc., Portland, OR (

Publisher: Hackensack, N.J. : World Scientific, 2012
Edition: 2nd ed
ISBN: 9789814407397
Characteristics: 1 online resource (xiv, 353 pages :) : illustrations


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