Painleve' transcendents and two-dimensional topological field theory
Algebraic Geometry
2007-05-23 v2 Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Keywords
Cite
@article{arxiv.math/9803107,
title = {Painleve' transcendents and two-dimensional topological field theory},
author = {Boris Dubrovin},
journal= {arXiv preprint arXiv:math/9803107},
year = {2007}
}
Comments
117 pages, plain TeX, no figures References added; to appear in Proceedings of 1996 Carg\`ese school ``The Painlev\'e property: one century later''