The paper defines generalized Vassiliev relations for functions on permutations, proves the gl- and so- weight systems satisfy them, and studies the resulting Hopf algebras and KP-hierarchy connection.
Bar-Natan,On the Vassiliev knot invariants, Topology, 1995,34, 423–472
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Generalized chord diagrams and weight systems
The paper defines generalized Vassiliev relations for functions on permutations, proves the gl- and so- weight systems satisfy them, and studies the resulting Hopf algebras and KP-hierarchy connection.