Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve

2025/02/04 by Blot, Xavier, Shadrin, Sergey, Singh, Ishan Jaztar · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.02297

Abstract

The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of M_g. This new proof exhibits a new beautiful tautological relation that stems from the recent work of Oberdieck--Pixton on the Gromov--Witten theory of the elliptic curve via a refinement of their argument, and some straightforward computation with the double ramification cycles that enters the recursion relations for the Hamiltonians of the KdV hierarchy.

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