%0 Journal Article
%J Mathematical Physics, Analysis and Geometry 4: 245–291, 2001
%D 2001
%T Inverse Problem and Monodromy Data for Three-Dimensional Frobenius Manifolds
%A Davide Guzzetti
%K Frobenius Manifolds, Painleve Equations, Isomonodromy deformations
%X 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 Painlevé 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–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.
%B Mathematical Physics, Analysis and Geometry 4: 245–291, 2001
%I RIMS, Kyoto University
%G en
%1 6479
%2 Mathematics
%4 1
%# MAT/07 FISICA MATEMATICA
%$ Submitted by Davide Guzzetti (guzzetti@sissa.it) on 2013-03-13T10:02:25Z\nNo. of bitstreams: 1\n04-InvFrob01.pdf: 305277 bytes, checksum: 9371356f1496f5c30346ccf145b00fb8 (MD5)
%R 10.1023/A:1012933622521