Computing Hodge integrals with one lambda-class

TL;DR

This paper presents an algorithm to compute Hodge integrals involving psi-classes and a single lambda-class, expressing them as polynomials based on lower-dimensional integrals, with practical examples.

Contribution

It introduces a novel algorithm for calculating specific Hodge integrals involving one lambda-class, expanding computational methods in algebraic geometry.

Findings

Provides a polynomial expression for Hodge integrals with one lambda-class.

Includes an explicit algorithm for computation.

Demonstrates the method with concrete examples.

Abstract

Any hodge integrals involving psi-classes and one lambda-class is computed as a polynomial in terms of lower-dimensional ones. Algorithm and examples are presented.