Communications in Mathematical Physics

, Volume 147, Issue 1, pp 1–23

Intersection theory on the moduli space of curves and the matrix airy function

  • Maxim Kontsevich

DOI: 10.1007/BF02099526

Cite this article as:
Kontsevich, M. Commun.Math. Phys. (1992) 147: 1. doi:10.1007/BF02099526


We show that two natural approaches to quantum gravity coincide. This identity is nontrivial and relies on the equivalence of each approach to KdV equations. We also investigate related mathematical problems.

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Maxim Kontsevich
    • 1
  1. 1.Max-Planck Institut für MathematikBonn 1Federal Republic of Germany

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