A curious identity that implies Faber's conjecture

Garcia-Failde, Elba; Zagier, Don

doi:10.1112/blms.12659

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A curious identity that implies Faber's conjecture

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Zagier, Don
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Garcia-Failde, E., & Zagier, D. (2022). A curious identity that implies Faber's conjecture. Bulletin of the London Mathematical Society, 54(5), 1839-1845. doi:10.1112/blms.12659.

Cite as: https://hdl.handle.net/21.11116/0000-000A-772A-2

Abstract

We prove that a curious generating series identity implies Faber's
intersection number conjecture (by showing that it implies a combinatorial
identity already given in arXiv:1902.02742) and give a new proof of Faber's
conjecture by directly proving this identity.