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- W2072667744 abstract "Using the new approach of braiding sequences we give a proof of the Lin-Wing conjecture, stating that a Vassiliev invariant ν of degree k has a value O ν (c(K) k ) on a knot K, where c(K) is the crossing number of K and O ν depends on ν only. We extend our method to give a quadratic upper bound in k for the crossing number of alternating/positive knots, the values on which suffice to determine uniquely a Vassiliev invariant of degree k. This also makes orientation and mutation sensitivity of Vassiliev invariants decidable by testing them on alternating/positive knots/mutants only. We give an exponential upper bound for the number of Vassiliev invariants on a special class of closed braids." @default.
- W2072667744 created "2016-06-24" @default.
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- W2072667744 date "2001-08-01" @default.
- W2072667744 modified "2023-09-23" @default.
- W2072667744 title "ON FINITENESS OF VASSILIEV INVARIANTS AND A PROOF OF THE LIN-WANG CONJECTURE VIA BRAIDING POLYNOMIALS" @default.
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- W2072667744 doi "https://doi.org/10.1142/s0218216501001141" @default.
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