paper

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

arXiv:math/0010235

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.

131 pages 16 figures

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