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Algebraic invariants of links, 2d ed.


Algebraic invariants of links, 2d ed.

Hillman, Jonathan A.

World Scientific


353 pages



Series on knots and everything; v.52


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.

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Publication:Reference & Research Book News
Article Type:Book review
Date:Jun 1, 2013
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