Mathematics – Algebraic Geometry
Scientific paper
2001-11-07
Adv.Theor.Math.Phys. 7 (2003) 525-576
Mathematics
Algebraic Geometry
52 pages; final version
Scientific paper
We review some relations occurring between the combinatorial intersection theory on the moduli spaces of stable curves and the asymptotic behavior of the 't Hooft-Kontsevich matrix integrals. In particular, we give an alternative proof of the Witten-Di Francesco-Itzykson-Zuber theorem --which expresses derivatives of the partition function of intersection numbers as matrix integrals-- using techniques based on diagrammatic calculus and combinatorial relations among intersection numbers. These techniques extend to a more general interaction potential.
Fiorenza Domenico
Murri Riccardo
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