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On the Arf invariant of links

Published online by Cambridge University Press:  24 October 2008

K. Murasugi
K. Murasugi
Affiliation:
University of Toronto, Canada
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Extract

Let Δl(x, y) be a Alexander polynomial of a link l of two components X and Y in S3. Denote by Arf (Z) the Arf invariant of Z, a knot or a proper link [9]

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 1 , January 1984 , pp. 61 - 69
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

REFERENCES

[1] Crowell, R. H. and Fox, R. H.. Introduction to Knot Theory (Ginn, 1963).Google Scholar
[2] Hausmann, J. C. (ed.). Knot Theory, Proceedings, Plans-sur-Bex, Switzerland, 1977, Lecture Notes in Math. vol. 685 (Springer-Verlag, 1978).Google Scholar
[3] Kojima, S. and Yamasaki, M.. Some new invariants of links. Invent. Math. 54 (1979), 213–228.CrossRefGoogle Scholar
[4] Maeda, T. and Mtjrasugi, K.. overing linkage invariants and Fox's Problem 13. In Low Dimensional Topology, Contemporary Mathematics vol. 20 (Amer. Math. Soc, 1983), 271–283.CrossRefGoogle Scholar
[5] Mubasugi, K.. On the Minkowski unit of slice links. Trans. Amer. Math. Soc. 114 (1965), 377–383.CrossRefGoogle Scholar
[6] Mtjbasttgi, K.. On a certain numerical invariant of link types. Trans. Amer. Math. Soc. 117 (1965), 387–422.Google Scholar
[7] Mubasugi, K.. The Arf invariant for knot types. Proc. Amer. Math. Soc. 21 (1969), 69–72.CrossRefGoogle Scholar
[8] Mubasugi, K.. On the signature of links. Topology 9 (1970), 283–298.CrossRefGoogle Scholar
[9] Robertello, R. A.. An invariant of knot cobordism. Comm. Pure Appl. Math. 18 (1965), 543–555.CrossRefGoogle Scholar
[10] Torres, G.. On the Alexander polynomial. Ann. of Math. 57 (1953), 57–89.CrossRefGoogle Scholar