Invariants on Hopf algebra of delta-matroids and Hopf algebra of Lagrangian subspaces that satisfy four-term relations

In this talk I will continue the topic Alex Dunaykin spoke about. I will briefly recall the connection between Hopf algebras of chord diagrams, intersection graphs, ribbon (embedded) graphs and binary delta-matroids. I will give some examples of weight systems on the Hopf algebra of delta-matroid. And then I will describe isomorphism between Hopf algebra of ribbon graphs and Hopf algebra of Lagrangian subspaces.