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The fundamental group of fibered knot cobordisms. (English) Zbl 0325.55001


MSC:

57M05 Fundamental group, presentations, free differential calculus

References:

[1] Burde, G., Zieschang, H.: Eine Kennzeichnung der Torusknoten. Math. Ann.167, 169-176 (1966) · Zbl 0145.20502 · doi:10.1007/BF01362170
[2] Chen, K.-T.: Isotopy invariants of links. Ann. of Math.56, 343-353 (1952) · Zbl 0049.40403 · doi:10.2307/1969803
[3] Durfee, A. H.: Fibered knots and algebraic singularities. Topology13, 47-59 (1974) · Zbl 0275.57007 · doi:10.1016/0040-9383(74)90037-8
[4] Hilton, P. J., Wylie, S.: Homology theory. Cambridge: Cambridge University Press 1967 · Zbl 0163.17803
[5] Lang, S.: Algebra. New York: Addison-Wesley 1965 · Zbl 0193.34701
[6] Milnor, J.: Infinite cyclic coverings. In: Conference on the Topology of Manifolds, pp. 115-133. New York: Prindle, Weber and Schmidt 1968 · Zbl 0179.52302
[7] Milnor, J.: Isotopy of links. In: Algebraic Geometry and Topology, pp. 280-306. Princeton: Princeton University Press 1957 · Zbl 0080.16901
[8] Papakyriakopoulos, C. D.: On solid tori. Proc. London Math. Soc.7, 281-299 (1957) · Zbl 0078.16305 · doi:10.1112/plms/s3-7.1.281
[9] Sakamoto, K.: Milnor fiberings and their characteristic maps. In: Manifolds-Tokyo-1973, pp. 145-150. Tokyo: University of Tokyo Press 1974
[10] Stallings, J.: Homology and central series of groups. J. of Algebra2, 170-181 (1965) · Zbl 0135.05201 · doi:10.1016/0021-8693(65)90017-7
[11] Stallings, J.: On fibering certain 3-manifolds. In: Topology of 3-Manifolds and Related Topics, pp. 95-100. New York: Prentice-Hall 1962 · Zbl 1246.57049
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