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

Details The n-point functions for intersection numbers on moduli spaces of curves The n-point functions for intersection numbers on moduli spaces of curves

2007-01-11

arxiv.org/abs/math/0701319v2

Mathematics

Algebraic Geometry

22 pages

Scientific paper

Using the celebrated Witten-Kontsevich theorem, we prove a recursive formula of the $n$-point functions for intersection numbers on moduli spaces of curves. It has been used to prove the Faber intersection number conjecture and motivated us to find some conjectural vanishing identities for Gromov-Witten invariants. The latter has been proved recently by X. Liu and R. Pandharipande. We also give a combinatorial interpretation of $n$-point functions in terms of summation over binary trees.

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