Hodge Integrals and Integrable Hierarchies

2003/10/26 by Jian Zhou, Zhou, Jian
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0310408

arxiv created 2003/10/26 · arxiv updated 2009/12/01

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.

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