Contents

Abstract. We study multicomponent plane curves with possible singularities of selftangency type. To each such curve we assign a so-called L-space, which is a Lagrangian subspace in an even-dimensional vector space with the standard symplectic form. This invariant generalizes the notion of the intersection matrix for the framed chord diagram of a one- component plane curve. Moreover, the actions of Morse perestroikas and Vassiliev moves are reinter-preted nicely the language of L-spaces, becoming changes of bases in this vector space. Finally, we define a bialgebra structure on th