Knot invariants

Kontsevich invariant

In the mathematical theory of knots, the Kontsevich invariant, also known as the Kontsevich integral of an oriented framed link, is a universal Vassiliev invariant in the sense that any coefficient of the Kontsevich invariant is of a finite type, and conversely any finite type invariant can be presented as a linear combination of such coefficients. It was defined by Maxim Kontsevich. The Kontsevich invariant is a universal quantum invariant in the sense that any quantum invariant may be recovered by substituting the appropriate into any . (Wikipedia).

Kontsevich invariant
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Related pages

Monodromy | Jones polynomial | Hopf algebra | Chord diagram (mathematics) | Knizhnik–Zamolodchikov equations | Monoidal category | Finite type invariant | Linear combination | Link (knot theory) | Quantum invariant | Lie algebra | Tangle (mathematics) | Alexander polynomial | Connected sum | Knot theory