Communications in Mathematical Physics

, Volume 147, Issue 1, pp 1-23

First online:

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

  • Maxim KontsevichAffiliated withMax-Planck Institut für Mathematik

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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.