Massey products in the cohomology of groups with applications to link theory

Author:
David Stein

Journal:
Trans. Amer. Math. Soc. **318** (1990), 301-325

MSC:
Primary 57M25; Secondary 55S30

DOI:
https://doi.org/10.1090/S0002-9947-1990-0958903-3

MathSciNet review:
958903

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Abstract: Invariants of links in are developed using a modification of the Massey product of one-dimensional classes in the cohomology of certain groups. The theory yields two types of invariants, invariants which depend upon a collection of meridians, or basing, of a link, and invariants which do not. The invariants, which are independent of the basing, are compared with John Milnor's -invariants. For two component links, a collection of ostensibly based invariants is shown to be independent of the basing. If the linking number of the components of such a link is zero, the resulting invariants may be equivalent to the Sato-Levine-Cochran invariants.

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DOI:
https://doi.org/10.1090/S0002-9947-1990-0958903-3

Article copyright:
© Copyright 1990
American Mathematical Society