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THE BRAID INDEX AND THE GROWTH OF VASSILIEV INVARIANTS
- A. Stoimenow
Journal of Knot Theory and Its Ramifications01 Sep 1999
Preview Abstract
We use the new approach of braiding sequences to prove exponential upper bounds for the number of Vassiliev invariants on knots with bounded braid index, bounded bridge number and arborescent knots.
We prove, that any Vassiliev invariant of degree k is determined by its values on knots with braid index at most k + 1.

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