On a weight system conjecturally related to ${\mathfrak{sl}}_2$

E. Kulakova, S. Lando, T. Mukhutdinova +1

We introduce a new series $R_k$, $k=2,3,4,\dots$, of integer valued weight systems. The value of the weight system $R_k$ on a chord diagram is a signed number of cycles of even len…