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Formulas for A_n and B_n-solutions of WDVV equations

The simplest non-trivial solutions of WDVV equations are A_n and B_n-potentials, which describe metrics of K.Saito on spaces of versal deformation of A_n and B_n-singularities. These are some polynomials, which were known for $n\leqslant$ 4. We find some recurrence relations, which give a possibility to find all A_n and B_n-potentials. In passing we give recurrence formulas for coefficients of dispersionless KP hierarchy.

preprint1999arXivOpen access
S. M. Natanzon
math-phmath.MPmath.AGmath.DGhep-th
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S. M. Natanzon

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