Painleve' transcendents and two-dimensional topological field theory
Abstract
Description
Lecture 1. Algebraic properties of correlators in 2D topological field theory. Moduli of a 2D TFT and WDVV equations of associativity.
Lecture 2. Equations of associativity and Frobenius manifolds. Deformed flat connection and its monodromy at the origin.
Lecture 3. Semisimplicity and canonical coordinates.
Lecture 4. Classification of semisimple Frobenius manifolds.
Lecture 5. Monodromy group and mirror construction for semisimple Frobenius manifolds.
117 pages, plain TeX, no figures References added; to appear in Proceedings of 1996 Cargèse school ``The Painlevé property: one century later''
117 pages, plain TeX, no figures References added; to appear in Proceedings of 1996 Cargèse school ``The Painlevé property: one century later''