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On Cabled Knots and Vassiliev Invariants (Not) Contained in Knot Polynomials

On Cabled Knots and Vassiliev Invariants (Not) Contained in Knot Polynomials

Abstract It is known that the Brandt–Lickorish–Millett–Ho polynomial Q contains Casson's knot invariant. Whether there are (essentially) other Vassiliev knot invariants obtainable from Q is an open problem. We show that this is not so up to degree 9. We also give the (apparently) first examples of knots not distinguished …