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arXiv · 1512.07192

Vassiliev invariants for pretzel knots

A. Sleptsov
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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.

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A. Sleptsov. 2015-12-22. Vassiliev invariants for pretzel knots. https://doi.org/10.1142/s0217751x16501566

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