A proof of the Faber intersection number conjecture
Kefeng Liu, Hao Xu
TL;DR
This paper proves the Faber intersection number conjecture using recursion formulas for intersection numbers on moduli spaces of curves, and explores vanishing properties of Gromov-Witten invariants.
Contribution
It provides a proof of the Faber conjecture and introduces new recursion formulas and vanishing results for Gromov-Witten invariants.
Findings
Proof of the Faber intersection number conjecture
Recursion formulas for n-point functions
Vanishing properties of Gromov-Witten invariants
Abstract
We prove the famous Faber intersection number conjecture and other more general results by using a recursion formula of -point functions for intersection numbers on moduli spaces of curves. We also present some vanishing properties of Gromov-Witten invariants.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology