Vassiliev invariants for pretzel knots
classification
✦ hep-th
math.GTmath.QA
keywords
invariantsknotsldotsorderpretzelvassilievarbitrarycoincide
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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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