@article {2001,
title = {Inverse Problem and Monodromy Data for Three-Dimensional Frobenius Manifolds},
journal = {Mathematical Physics, Analysis and Geometry 4: 245{\textendash}291, 2001},
year = {2001},
publisher = {RIMS, Kyoto University},
abstract = {We study the inverse problem for semi-simple Frobenius manifolds of dimension 3 and we\r\nexplicitly compute a parametric form of the solutions of theWDVV equations in terms of Painlev{\'e} VI\r\ntranscendents. We show that the solutions are labeled by a set of monodromy data. We use our parametric\r\nform to explicitly construct polynomial and algebraic solutions and to derive the generating\r\nfunction of Gromov{\textendash}Witten invariants of the quantum cohomology of the two-dimensional projective\r\nspace. The procedure is a relevant application of the theory of isomonodromic deformations.},
keywords = {Frobenius Manifolds, Painleve Equations, Isomonodromy deformations},
doi = {10.1023/A:1012933622521},
author = {Davide Guzzetti}
}