English

A combinatorial proof of the $\lambda_g$ conjecture in genus 2

Algebraic Geometry 2024-07-17 v1 Combinatorics

Abstract

We give a simple combinatorial proof of the λg\lambda_g conjectue in genus 2. We use a description of the class λ2\lambda_2 as a linear combination of boundary strata, and show the conjecture follows inductively from applications of the projection formula, string equation, and dilaton equation.

Keywords

Cite

@article{arxiv.2212.01496,
  title  = {A combinatorial proof of the $\lambda_g$ conjecture in genus 2},
  author = {Taylor Rogers and Renzo Cavalieri},
  journal= {arXiv preprint arXiv:2212.01496},
  year   = {2024}
}

Comments

16 pages. Submitted to Involve

R2 v1 2026-06-28T07:21:00.230Z