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On the Arf invariant of links

Published online by Cambridge University Press:  24 October 2008

Ying-Qing Wu
Ying-Qing Wu
Affiliation:
Mathematics Department, Peking University, Beijing, China
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Extract

In ([2], p. 310) the problem of relating the Arf invariant of a link to other link invariants, and finding practical ways of computing it, was raised. Murasugi gave a partial solution to this in [9]: if L has two components, then Arf(L), when defined, is given by

where l1, l2 are the components of L, and ΔL(t1, t2) denotes the Alexander polynomial of L.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 2 , September 1986 , pp. 355 - 359
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

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