Delta-matroids and Vassiliev invariants

@article{Lando2016DeltamatroidsAV,
  title={Delta-matroids and Vassiliev invariants},
  author={Sergey Lando and V. Zhukov},
  journal={arXiv: Combinatorics},
  year={2016}
}
Vassiliev (finite type) invariants of knots can be described in terms of weight systems. These are functions on chord diagrams satisfying so-called 4-term relations. In the study of the sl2 weight system, it was shown that its value on a chord diagram depends on the intersection graph of the diagram rather than on the diagram itself. Moreover, it was shown that the value of this weight system on an intersection graph depends on the cy- cle matroid of the graph rather than on the graph itself… Expand

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