English

A curious identity that implies Faber's conjecture

Combinatorics 2021-04-23 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.2101.02187,
  title  = {A curious identity that implies Faber's conjecture},
  author = {Elba Garcia-Failde and Don Zagier},
  journal= {arXiv preprint arXiv:2101.02187},
  year   = {2021}
}

Comments

4 pages (in v2: minor improvements)

R2 v1 2026-06-23T21:51:03.357Z