The Kauffman polynomial of alternating links
โ Scribed by Yoshiyuki Yokota
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 445 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
We show that two classical theorems in graph theory and a simple result concerning the interlace polynomial imply that if K is a reduced alternating link diagram with n โฅ 2 crossings, then the determinant of K is at least n. This gives a particularly simple proof of the fact that reduced alternating
The higher order link polynomials are a class of link invariants related to both Homfly polynomial and Vassiliev invariants. Here we study their partial derivatives. We prove that each partial derivative of an nth order Homfly polynomial is an (n + 1)th order Homfly polynomial. In particular, each d
Alternating matrix polynomials, that is, polynomials whose coefficients alternate between symmetric and skew-symmetric matrices, generalize the notions of even and odd scalar polynomials. We investigate the Smith forms of alternating matrix polynomials, showing that each invariant factor is an even