Relations for quadratic Hodge integrals via stable maps

Canadian Mathematical Bulletin, vol. 67, pp. 680–686

Abstract

Abstract Following Faber–Pandharipande, we use the virtual localization formula for the moduli space of stable maps to $\mathbb {P}^{1}$ to compute relations between Hodge integrals. We prove that certain generating series of these integrals are polynomials.

Authors 1

1. Georgios Politopoulos corresponding Aachen Mathematical Institute

   Leiden University · Analyse, Géométrie et Modélisation

   Affiliation as printed

   Laboratoire AGM, Cergy University, 2 Avenue Adolphe Chauvin, 95300 Cergy-Pontoise, France

   Mathematical Institute, Leiden University, 2300 CA RA Leiden, Netherlands