English

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

Complex Variables 2007-05-23 v1 Algebraic Geometry Differential Geometry

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.

Keywords

Cite

@article{arxiv.math/0010235,
  title  = {Inverse Problem for semisimple Frobenius Manifolds, Monodromy Data and the Painleve' VI Equation},
  author = {D. Guzzetti},
  journal= {arXiv preprint arXiv:math/0010235},
  year   = {2007}
}

Comments

131 pages 16 figures