# Integrating a weight system of order n to an invariant of (n−1)-singular knots

@inproceedings{Domergue1996IntegratingAW, title={Integrating a weight system of order n to an invariant of (n−1)-singular knots}, author={Michel Domergue and Paul Donato}, year={1996} }

Starting from a Weight-System denoted by P and defined on the n-Chord-Diagrams with values in an arbitrary Q–module, we give an explicit combinatorial formula for an invariant of (n–1)-singular knots which has P as its derivative. The formula is defined for regular knot projections. Its invariance under singular Reidemeister moves is then proved.

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## A COMBINATORIAL HALF-INTEGRATION FROM WEIGHT SYSTEM TO VASSILIEV KNOT INVARIANT

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## On the First Two Vassiliev Invariants

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CITES METHODS