Hostname: page-component-7bb8b95d7b-495rp Total loading time: 0 Render date: 2024-09-18T05:11:58.732Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Pass-equivalence of links

Published online by Cambridge University Press:  17 April 2009

Yan-Loi Wong
Yan-Loi Wong
Affiliation:
Department of Mathematics, National University of Singapore, Sigapore 0511, Republic of Singapore
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give a simple geometric proof that the Jones polynomial at the value i of an oriented link is invariant under pass-equivalence.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 157 - 162
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Jones, V., ‘A polynomial invariant for knots via von Neumann algebras’, Bull. Amer. Math. Soc. 12 (1985), 103–111.CrossRefGoogle Scholar
[2]Kauffman, L., ‘Link manifolds’, Michigan Math. J. 21 (1974), 33–44.CrossRefGoogle Scholar
[3]Kauffman, L., ‘The Arf invariant of classical knots’, in Contemp. Math. 44: Combinatorial Methods in Topology and Algebraic Geometry, pp. 101–116.CrossRefGoogle Scholar
[4]Lickorish, W. and Millett, K., ‘Some evaluations of link polynomials’, Comment. Math. Helv. 61 (1986), 335–338.CrossRefGoogle Scholar
[5]Murakami, H., ‘A recursive calculation of the Arf invariant of a link’, J. Math. Soc. Japan 38 (1986), 335–338.CrossRefGoogle Scholar
[6]Robertello, R., ‘An invariant of knot cobordism’, Comm. Pure Appl. Math. XVIII (1965), 543–555.CrossRefGoogle Scholar