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A curious identity that implies Faber's conjecture

2021/01/06 by Elba Garcia‐Failde, Don Zagier, Garcia-Failde, Elba +1
Computer Science · Mathematics · #05E14 #14H10 #14N10 #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2101.02187

openalex publication_date 2021/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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