Polynomial invariants are polynomial
Copyright policy ) Bar-Natan, Dror;
Polynomial invariants are polynomial
We show that (as conjectured by Lin and Wang) when a Vassiliev invariant of type $m$ is evaluated on a knot projection having $n$ crossings, the result is bounded by a constant times $n^m$. Thus the well known analogy between Vassiliev invariants and polynomials justifies (well, at least {\em explains}) the odd title of this note.
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- Harvard University United States
singular knot, Mathematics - Quantum Algebra, FOS: Mathematics, Knots and links in the \(3\)-sphere, Quantum Algebra (math.QA), polynomial invariants, Vassiliev knot invariant
singular knot, Mathematics - Quantum Algebra, FOS: Mathematics, Knots and links in the \(3\)-sphere, Quantum Algebra (math.QA), polynomial invariants, Vassiliev knot invariant
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 12
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