Painleve' transcendents and two-dimensional topological field theory

Details Painleve' transcendents and two-dimensional topological field theory Painleve' transcendents and two-dimensional topological field theory

1998-03-23

arxiv.org/abs/math/9803107v2

Mathematics

Algebraic Geometry

117 pages, plain TeX, no figures References added; to appear in Proceedings of 1996 Carg\`ese school ``The Painlev\'e property

Scientific paper

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.

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