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A relationship between link polynomials

Published online by Cambridge University Press:  24 October 2008

W. B. R. Lickorish
W. B. R. Lickorish
Affiliation:
Department of Pure Mathematics, University of Cambridge
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Extract

The discovery by V. F. R. Jones of a Laurent polynomial invariant VL(t)∈ℤ[t±½] for every oriented link L in the 3-sphere prompted the finding of a more general 2-variable Laurent polynomial invariant PL(l, m)∈ℤ[l±1,m±1], (see [4], [3] and [6]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 100 , Issue 1 , July 1986 , pp. 109 - 112
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

[1]Birman, J. S.. Jones' braid-plait formulae, and a new surgery triple. To appear.Google Scholar
[2]Brandt, R. D., Lickorish, W. B. R. and Millett, K. C.. A polynomial invariant for unoriented knots and links. Invent. Math., to appear.Google Scholar
[3]Freyd, P., Yetter, D., Hoste, J., Lickorish, W. B. R., Millett, K. and Ocneanu, A.. A new polynomial invariant of knots and links. Bull. Amer. Math. Soc. 12 (1985), 239–246.CrossRefGoogle Scholar
[4]Jones, V. F. R.. A polynomial invariant for knots via von Neumann algebras. Bull. Amer. Math. Soc. 12 (1985), 103–111.CrossRefGoogle Scholar
[5]Kauffman, L. H.. An invariant of regular isotopy. To appear.Google Scholar
[6]Lickorish, W. B. R. and Millett, K. C.. A polynomial invariant of oriented links. To appear.Google Scholar
[7]Lickorish, W. B. R. and Millett, K. C.. The reversing result for the Jones polynomial. Pacific J. Math. To appear.Google Scholar
[8]Lickorish, W. B. R. and Millett, K. C.. Some evaluations of link polynomials. To appear.Google Scholar