Communications in Mathematical Physics

, Volume 147, Issue 1, pp 1–23 | Cite as

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

  • Maxim Kontsevich


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Modulus Space 
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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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