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Painleve' transcendents and two-dimensional topological field theory

Boris Dubrovin
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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.

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Boris Dubrovin. 1998-04-14. Painleve' transcendents and two-dimensional topological field theory. https://arxiv.org/abs/math/9803107

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