A Conjecture on Hodge Integrals
Algebraic Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We propose a conjectural formula expressing the generating series of some Hodge integrals in terms of representation theory of Kac-Moody algebras. Such generating series appear in calculations of Gromov-Witten invariants by localization techniques. It generalizes a formula conjectured by Mari\~no and Vafa, recently proved in joint work with Chiu-Chu Melissa Liu and Kefeng Liu. Some examples are presented.
Cite
@article{arxiv.math/0310282,
title = {A Conjecture on Hodge Integrals},
author = {Jian Zhou},
journal= {arXiv preprint arXiv:math/0310282},
year = {2007}
}