| Abstract: | In this paper Massey products in the cohomology of the complementary space of a link in a three-dimensional homology sphere are calculated. It is proved that these products are determined by the Milnor invariants of the link and determine them. This generalizes the known connection between the linking coefficients and the cup-product in the cohomology of the complementary space. The existence of a connection between Massey products and Milnor invariants was stated as a conjecture by Stallings.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 66, pp. 189–203, 1976. |
