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

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Authors
Publication date 09-2025
Journal Bulletin of the London Mathematical Society
Volume | Issue number 57 | 9
Pages (from-to) 2698-2707
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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 Mg. 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.
Document type Article
Language English
Published at https://doi.org/10.1112/blms.70117
Other links https://www.scopus.com/pages/publications/105008753734
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