Hodge Integrals and Integrable Hierarchies

Details Hodge Integrals and Integrable Hierarchies Hodge Integrals and Integrable Hierarchies

2003-10-26

arxiv.org/abs/math/0310408v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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