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On the slice genus of knots. (English) Zbl 0495.57002


MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
57Q45 Knots and links in high dimensions (PL-topology) (MSC2010)
57M10 Covering spaces and low-dimensional topology
57Q60 Cobordism and concordance in PL-topology

References:

[1] Casson, A.J., Gordon, C. Mc A.: Cobordism of classical knots inS 3. Printed notes, Orsay 1975
[2] Casson, A.J., Gordon, C. Mc A.: On slice knots in dimension three. Proc. Symp. in Pure Math. XXX, part two 39-53 (1978) · Zbl 0394.57008
[3] Gilmer, P.M.: Configurations of Surfaces in 4-manifolds. Trans. Amer. Math. Soc.264, 353-380 (1981) · Zbl 0509.57023
[4] Gilmer, P.M.: Slice Knots inS 3. Preprint · Zbl 0542.57007
[5] Gordon, C. Mc A.: Some Aspects of Classical Knot Theory. Proc. Plans-sur-bex Switzerland, 1977. Lect. Notes in Math. 685, 1-60, Berlin Heidelberg New York: Springer-Verlag 1978
[6] Kaufman, L., Taylor, L.: Signature of links. Trans. Amer. Math. Soc.216, 351-365 (1976) · Zbl 0322.55003 · doi:10.1090/S0002-9947-1976-0388373-0
[7] Milnor, J.W.: Infinite cyclic coverings. Conference on the Topology of Manifolds, pp. 115-133, Boston, Mass: Prindle, Weber, and Schmidt 1968
[8] Taylor, L.R.: On the Genera of Knots, Topology of Low-dimensional Manifolds. Proc. Sussex, 1977, Lect. Notes in Math. 722, pp. 143-160, Berlin Heidelberg New York: Springer-Verlag 1979
[9] Wall, C.T.C.: Quadratic forms on finite groups, and related topics. Topology,2, 281-298 (1964) · Zbl 0215.39903 · doi:10.1016/0040-9383(63)90012-0
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