A. Sleptsov
Published 2015-12-22Version 1
We compute Vassiliev invariants up to order six for arbitrary pretzel knots, which depend on $g+1$ parameters $n_1,\ldots,n_{g+1}$. These invariants are symmetric polynomials in $n_1,\ldots,n_{g+1}$ whose degree coincide with their order. We also discuss their topological and integer-valued properties.
Comments: 14 pages, 3 figures. arXiv admin note: text overlap with arXiv:1112.5406
Kontsevich integral for knots and Vassiliev invariants
Quantum $W_{1+\infty}$ subalgebras of BCD type and symmetric polynomials
Averaging method in combinatorics of symmetric polynomials
![QR code for arXiv:1512.07192 [hep-th]](http://oss.arxitics.com/images/favicon.svg)