# Cubic Hodge integrals and integrable hierarchies of Volterra type

@inproceedings{Takasaki2019CubicHI, title={Cubic Hodge integrals and integrable hierarchies of Volterra type}, author={Kanehisa Takasaki}, year={2019} }

A tau function of the 2D Toda hierarchy can be obtained from a generating function of the two-partition cubic Hodge integrals. The associated Lax operators turn out to satisfy an algebraic relation. This algebraic relation can be used to identify a reduced system of the 2D Toda hierarchy that emerges when the parameter $\tau$ of the cubic Hodge integrals takes a special value. Integrable hierarchies of the Volterra type are shown to be such reduced systems. They can be derived for positive… CONTINUE READING

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## Integrable structures of specialized hypergeometric tau functions

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CITES METHODS & BACKGROUND

## Integrable structures of specialized hypergeometric tau functions By Kanehisa Takasaki

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CITES METHODS & BACKGROUND

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