Advances in Theoretical and Mathematical Physics
Volume 15 (2011)
The n-point functions for intersection numbers on moduli spaces of curves
Pages: 1201 – 1236
Using the celebrated Witten--Kontsevich theorem, we provea recursive formula of the $n$-point functions forintersection numbers on moduli spaces of curves. It hasbeen used to prove the Faber intersection number conjectureand motivated us to find some conjectural vanishingidentities for Gromov--Witten invariants. The latter hasbeen proved recently by Liu and Pandharipande. We alsogive a combinatorial interpretation of $n$-point functionsin terms of summation over binary trees.