Geodesic
Multiplace generalizations of the Seifert form of a~classical knot
Sbornik. Mathematics, Tome 44 (1983) no. 3, pp. 335-361

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On the fundamental group $\pi$ of a Seifert surface$A$ of a knot in the three-dimensional sphere, the author constructs, using the same scheme as for the Seifert form, a form $\pi^n\to\mathbf Z$, for $n=3,4,\dots$ . The role of linking coefficient is played here by suitably chosen integral representatives of Milnor residues. It is shown that the form $\pi^3\to\mathbf Z$ can obstruct invertibility, ribbonness and two-sided null-cobordancy of the knot $\partial A$ (even when there is no obstruction by the Seifert form itself). Figures: 5. Bibliography: 17 titles. 
@article{SM_1983_44_3_a6,
     author = {V. G. Turaev},
     title = {Multiplace generalizations of the {Seifert} form of a~classical knot},
     journal = {Sbornik. Mathematics},
     pages = {335--361},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_44_3_a6/}
}
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V. G. Turaev. Multiplace generalizations of the Seifert form of a~classical knot. Sbornik. Mathematics, Tome 44 (1983) no. 3, pp. 335-361. http://geodesic.mathdoc.fr/item/SM_1983_44_3_a6/