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

Derivatives of Links: Milnor's Concordance Invariants and Massey's Products
Author :
Publisher : American Mathematical Soc.
Total Pages : 102
Release :
ISBN-10 : 0821824899
ISBN-13 : 9780821824894
Rating : 4/5 (894 Downloads)

Book Synopsis Derivatives of Links: Milnor's Concordance Invariants and Massey's Products by : Tim D. Cochran

Download or read book Derivatives of Links: Milnor's Concordance Invariants and Massey's Products written by Tim D. Cochran and published by American Mathematical Soc.. This book was released on 1990 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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