A Conjecture on Hodge Integrals

Details A Conjecture on Hodge Integrals A Conjecture on Hodge Integrals

2003-10-18

arxiv.org/abs/math/0310282v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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