Vassiliev invariants for pretzel knots

Abstract

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.

14 pages, 3 figures. arXiv admin note: text overlap with arXiv:1112.5406