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Hodge Integrals and Integrable Hierarchies

Jian Zhou
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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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Jian Zhou. 2003-10-26. Hodge Integrals and Integrable Hierarchies. https://arxiv.org/abs/math/0310408

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