Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-13T10:05:21.470Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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