Hodge Integrals and Integrable Hierarchies

Abstract

We show that the generating series of some Hodge integrals involving one or two partitions are tau-functions of the KP hierarchy or the 2-Toda hierarchy respectively. We also formulate a conjecture on the connection between relative invariants and integrable hierarchies. The conjecture is verified in some examples.

References in corpus (1)

• Hodge integrals, Hurwitz numbers, and Symmetric Groups

Cited by in corpus (1)

• Computing Hodge integrals with one lambda-class