The Kauffman polynomial of periodic knots
β Scribed by Yoshiyuki Yokota
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 885 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0040-9383
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π SIMILAR VOLUMES
We study the parametrized complexity of the knot (and link) polynomials known as Jones polynomials, Kauffman polynomials and HOMFLY polynomials. It is known that computing these polynomials is xP hard in general. We look for parameters of the combinatorial presentation of knots and links which make
A formula for the Jones polynomial of pretzel knots and links is constructed using Kauffman's state model of the Jones polynomial. A computer program in Maple, which is given for calculations of these polynomials is also used to show that an infinite class of pretzel knots with trivial Alexander pol
Let K be an unknotting number one knot. By calculating Casson's invariant for the 2-fold branched covering of S3 branched over K, we give some relations among the Jones polynomial, the signature, and the Conway polynomial of K, and prove that some knots are of unknotting number two.