Hodge strings ” and elements of K . Saito ’ s theory of the Primitive form

The " Hodge strings " construction of solutions to associativity equations is proposed. From the topological string theory point of view this construction formalizes the " integration over the position of the marked point " procedure for computation of amplitudes. From the mathematical point of view the " Hodge strings " construction is just a composition of elements of harmonic theory (known among physicists as a t-part of t − t * equations) and the K.Saito construction of flat coordinates (starting from flat connection with a spectral parameter). We also show how elements of K.Saito theory of primitive form appear naturally in the " Landau-Ginzburg " version of harmonic theory if we consider the holomorphic pieces of germs of harmonic forms at the singularity.