A combinatorial proof of the ${\lambda }_g$ conjecture in genus 2

Abstract

We give a simple combinatorial proof of the ${\lambda }_g$ conjectue in genus 2. We use a description of the class ${\lambda }_2$ as a linear combination of boundary strata, and show the conjecture follows inductively from applications of the projection formula, string equation, and dilaton equation.

16 pages. Submitted to Involve

References in corpus (1)

• Virasoro constraints and the Chern classes of the Hodge bundle