# Intersection theory
It was conjectured by Witten (and later proven by Kontsevich) that 2D gravity corresponds to an intersection theory on the moduli space of closed Riemann surfaces.
The free energy $F$ of a matrix model is equal to the generating function of intersection numbers on the moduli space of Riemann surfaces.
## Refs
- intro
- [book by Zvonkine](https://ems.press/books/irma/113/2177)
- main
- [[1991#Dijkgraaf, Verlinde, Verlinde]]
- [[1991#Witten (Jan)]]: conjecture
- [[1992#Kontsevich]]: combinatorial formula
## See also
- [[0681 Open intersection theory]]
- [[0266 2D gravity]]
- [[0657 Virasoro minimal string]]
- [[0050 JT gravity]]