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Combinatorics of the modular group. II: The Kontsevich integrals. (English) Zbl 0972.14500

Summary: We study algebraic aspects of Kontsevich integrals as generating functions for intersection theory over moduli spaces and review the derivation of Virasoro and KdV constraints.
Part I, P. Di Francesco and the authors, Commun. Math. Phys. 151, 193-219 (1993; Zbl 0831.14010).

MSC:

14H10 Families, moduli of curves (algebraic)
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
58C35 Integration on manifolds; measures on manifolds

Citations:

Zbl 0831.14010
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