Duality in an infinite cyclic covering and even-dimensional knots

M. Sh. Farber

Izvestiya. Mathematics , Tome 11 (1977) no. 4, pp. 749-781.

Résumé

Pairings are constructed defined on the torsion subgroups of the integral homology groups of the infinite cyclic covering of a compact manifold with values in the factor group of the rationals modulo the integers. This gives invariants of even-dimensional knots, with the help of which three problems of R. H. Fox about two-dimensional knots in four-dimensional space are solved. Bibliography: 25 titles.

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