THE JONES AND ALEXANDER POLYNOMIALS FOR SINGULAR LINKS
- 1 July 2010
- journal article
- Published by World Scientific Pub Co Pte Ltd in Journal of Knot Theory and Its Ramifications
- Vol. 19 (7), 859-866
- https://doi.org/10.1142/s0218216510008236
Abstract
We extend the Kauffman state models of the Jones and Alexander polynomials of classical links to state models of their two-variable extensions in the case of singular links. Moreover, we extend both of them to polynomials with d + 1 variables for long singular knots with exactly d double points. These extensions can detect non-invertibility of long singular knots.Keywords
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