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

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

2000-10-25

arxiv.org/abs/math/0010235v1

Mathematics

Complex Variables

131 pages 16 figures

Scientific paper

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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