References
Bourbaki, N.:Eléments de mathématique—Algèbre, Livre II (Hermann, Paris 1959), Chapitre IX.
Brieskorn, E.;Beispiele zur Differentialtopologie von Singularitäten, Inventiones mathematicae2 (1966), 1–14.
Fox, R. andMilnor, J.;Singularities of 2-spheres in 4-space and cobordism of knots, Osaka J. Math.3 (1966), 257–67.
Hirsch, M.;Embeddings and compressions of polyhedra and smooth manifolds, Topology4 (1966), 361–9.
Hirzebruch, F.;Differentiable manifolds and quadratic forms, mimeographed notes (Berkeley 1962).
Jones, B. W.;The Arithmetic theory of quadratic forms, Carus Mathematical monographs (New York 1950).
Kervaire, M.;Les noeuds de dimensions supérieures, Bull. Soc. Math. France93 (1965), 225–71.
Kervaire, M. andMilnor, J.;Bernoulli numbers, homotopy groups and a theorem of Rohlin, Proc. Inter. Cong. Math., Edinburg (1958), 454–8.
Levine, J.;Unknotting spheres in codimension two, Topology4 (1965), 9–16.
Levine, J.;Polynomial invariants of knots of codimension two, Annals of Math.84 (1966), 537–54.
Milnor, J.;On simply-connected 4-manifolds, Symposium Inter. de Topologia Algebrica, Mexico (1958), 122–8.
Milnor, J.;A procedure for killing the homotopy groups of differentiable manifolds, Symposia in Pure Math., A.M.S.III (1961), 39–55.
Milnor, J.;A duality theorem for Reidemeister torsion, Annals of Math.76 (1962), 137–47.
Murasugi, K.;On a certain numerical invariant of link types, Trans. A.M.S.117 (1965), 387–422.
Murasugi, K.;On the Minkowski unit of slice links, Trans. A.M.S.114 (1965), 377–83.
Penrose, R., Whitehead, J. H. C. andZeeman, E. C.;Imbeddings of manifolds in Euclidean space, Annals of Math.73 (1961), 613–23.
Seifert, H.;Über das Geschlecht von Knoten, Math. Annalen110 (1934), 571–92.
Smale, S.;On the structure of manifolds, Amer. J. Math.84 (1962), 387–99.
Trotter, H. F.;Homology of group systems with applications to knot theory, Annals of Math.76 (1962), 464–98.
Wall, C. T. C.;Diffeomorphisms of 4-manifolds, Journal London Math. Soc.39 (1964), 131–40.
Wall, C. T. C.;On simply-connected 4-manifolds, Journal London Math. Soc. 39 (1964), 141–9.
Whitney, H.;The self-intersections of a smooth n-manifold in 2n-space, Annals of Math.45 (1944), 220–46.
Milnor, J.;Infinite cyclic coverings (to appear).
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Research supported in part by NSF Grant No. 6868. The author is a Sloan Foundation Fellow. It has been brought to my attention that many of the results of this paper have been independently of obtained byF. Ungoed-Thomas.
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Levine, J. Knot cobordism groups in codimension two. Commentarii Mathematici Helvetici 44, 229–244 (1969). https://doi.org/10.1007/BF02564525
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DOI: https://doi.org/10.1007/BF02564525