A Conjecture on Hodge Integrals

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 Mariño and Vafa, recently proved in joint work with Chiu-Chu Melissa Liu and Kefeng Liu. Some examples are presented.

References in corpus (3)

• Hodge integrals and invariants of the unknot
• Hodge integrals, Hurwitz numbers, and Symmetric Groups
• The Homfly polynomial of the decorated Hopf link

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