Feynman diagrams and the KdV hierarchy

Details Feynman diagrams and the KdV hierarchy Feynman diagrams and the KdV hierarchy

2001-11-08

arxiv.org/abs/math/0111097v2

Mathematics

Algebraic Geometry

25 pages, LaTeX 2e, uses Xy-Pic. Completely rewritten in order to make the paper self-contained

Scientific paper

The generating series of the intersection numbers of the stable cohomology
classes on moduli spaces of curves satisfies the string equation and a KdV
hierarchy. We give a proof of this classical Kontsevich-Witten result
completely in terms of Feynman diagrams.

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