  The operation of tensor product of Cohomological Field Theories (or algebras
over genus zero moduli operad) introduced in an earlier paper by the authors is
described in full detail, and the proof of a theorem on additive relations
between strata classes is given. This operation is a version of the Kuenneth
formula for quantum cohomology. In addition, rank one CohFT's are studied, and
a generalization of Zograf's formula for Weil-Petersson volumes is suggested.
