A hyperelliptic Hodge integral

TL;DR

This paper computes a specific hyperelliptic Hodge integral involving lambda classes and psi classes, utilizing WDVV equations related to genus zero Gromov-Witten invariants of a weighted projective space.

Contribution

It provides a new explicit calculation of a hyperelliptic Hodge integral using WDVV equations, advancing understanding in algebraic geometry and Gromov-Witten theory.

Findings

Explicit formula for the hyperelliptic Hodge integral lambda_g lambda_{g-1} / (1 - psi)

Application of WDVV equations to hyperelliptic integrals

Enhanced techniques for computing Hodge integrals in algebraic geometry

Abstract

We calculate the hyperelliptic Hodge integral lambda_g lambda_{g-1} / (1 - psi) for use in arXiv:math/0702219. The proof uses the WDVV equations for the genus zero Gromov--Witten invariants of P(1,1,2).