(06018) The n-point functions for intersection numbers on moduli spaces of curves

来源:数学科学研究中心

Abstract

We derive from Witten's KdV equation a simple formula of the $n$-point functions for intersection numbers on moduli spaces of curves, generalizing Dijkgraaf's two-point function and Zagier's three-point function. This formula uncovers many new identities about integrals of $\psi$ classes and provides an elementary and more efficient algorithm to compute intersection numbers other than the celebrated Witten-Kontsevich theorem.

 

 

 

  • npointfunction.pdf