Intersection Theory, Integrable Hierarchies and Topological Field Theory

Preprint

2 January 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9201003

Abstract

In these lecture notes we review the various relations between intersection theory on the moduli space of Riemann surfaces, integrable hierarchies of KdV type, matrix models, and topological quantum field theories. We explain in particular why matrix integrals of the type considered by Kontsevich naturally appear as tau-functions associated to minimal models. Our starting point is the extremely simple form of the string equation for the topological (p,1) models, where the so-called Baker-Akhiezer function is given by a (generalized) Airy function.

Keywords

INTEGRABLE HIERARCHIES
INTERSECTION THEORY
VARIOUS RELATIONS
TOPOLOGICAL FIELD
LECTURE NOTES
MODULI SPACE
FIELD THEORY
INTEGRALS
THEORY

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Version 1, 1992-01-02, ArXiv

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