Derivatives of Links: Milnor's Concordance Invariants and Massey's Products

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Derivatives of Links: Milnor's Concordance Invariants and Massey's Products is written by Tim D. Cochran and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821824899 (ISBN 10) and 9780821824894 (ISBN 13).

We investigate higher-order cohomology operations (Massey products) on complements of links of circles in [italic]S3. These are known to be essentially equivalent to the [lowercase Greek]Mu [with macron]-invariants of John Milnor, which detect whether or not the longitudes of the link lie in the [italic]n[superscript]th term of the lower central series of the fundamental group of the link compliment. We define a geometric "derivative" on the set of all links and use this to define higher-order linking numbers which are shown to be "pieces" of Massey products.