Integrable structure behind the generalized WDVV equations

In the theory of quantum cohomologies the WDVV equations imply integrability of the system (1 partial derivative(mu) - zC(mu))psi= 0. However, in generic situation - of which an example is provided by the Seiberg-Witten theory - there is no distinguished direction (like t(0)) in the moduli space, and such equations for psi appear inconsistent. Instead they are substituted by (C(mu)partial derivative(nu)- C(nu)partial derivative(mu))psi similar to(F(mu)partial derivative(nu)-F(nu)partial derivative(mu))psi=0 where matrices (F-mu)(alpha beta) = partial derivative(alpha)partial derivative(beta)partial derivative(mu)F. (C) 1998 Published by Elsevier Science B.V. Pill rights reserved.