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 (6)

• Topological Strings and Integrable Hierarchies
• Melting Crystal, Quantum Torus and Toda Hierarchy
• Intersection numbers of spectral curves
• Computing Hodge integrals with one lambda-class
• Integrable structure of melting crystal model with external potentials
• Toda tau functions with quantum torus symmetries