A proof of the Faber intersection number conjecture

Abstract

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.

17 pages, to appear in J. Differential Geom

References in corpus (5)

• The structure of 2D semi-simple field theories
• Topological recursion relations and Gromov-Witten invariants in higher genus
• The moduli space of curves, double Hurwitz numbers, and Faber's intersection number conjecture
• The n-point functions for intersection numbers on moduli spaces of curves
• New topological recursion relations

Cited by in corpus (1)

• Algebraic structures on the topology of moduli spaces of curves and maps