A new proof of Faber's intersection number conjecture

Abstract

We give a new proof of Faber's intersection number conjecture concerning the top intersections in the tautological ring of the moduli space of curves $\M_g$. The proof is based on a very straightforward geometric and combinatorial computation with double ramification cycles.

Cited by in corpus (6)

• Computing top intersections in the tautological ring of $M_g$
• Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
• Buryak-Okounkov formula for the $n$-point function and a new proof of the Witten conjecture
• Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve
• Relations in the Tautological Ring of the Universal Curve
• Structures in topological recursion relations