Inverse Problem for semisimple Frobenius Manifolds, Monodromy Data and the Painleve' VI Equation

Abstract

We study critical behaviour and connection problem for a Painleve' 6 equation. We construct solutions of WDVV eqs. using the isomonodromic deformation method and the Painleve' equations. We find algebraic solutions of WDVV and Gromov-Witten invariants of projective space.

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