A proof of the Faber intersection number conjecture

Mathematics – Algebraic Geometry

Scientific paper

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17 pages, to appear in J. Differential Geom

Scientific paper

We prove the famous Faber intersection number conjecture and other more
general results by using a recursion formula of $n$-point functions for
intersection numbers on moduli spaces of curves. We also present some vanishing
properties of Gromov-Witten invariants.

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