**The International Conference on
**

Secondary Calculus and Cohomological Physics,

Moscow, August 24 - August 31, 1997

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WDVV equations and their solutions for a $(3,2)$ and $(3,4)$ supermanifold; the isotropic and nonisotropic case

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R. Martini, P.H.M. Kersten

University of Twente, Faculty of Applied Mathematics, P.O. Box 217, 7500 AE Enschede, The Netherlands E-mail: p.h.m.kersten@math.utwente.nl

**Abstract:** The WDVV equations for the isotropic and nonisotropic case on a supermanifold of dimension $(3,2)$ and $(3,4)$ will be derived. By the method of characteristics, the general solution is constructed after transforming the system of WDVV equations to appropriate coordinates.

**Keywords:** Topological Field Theory, Equations of associativity, WDVV-euqations

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