Cubic Hodge integrals and integrable hierarchies of Volterra type

@article{Takasaki2019CubicHI,
  title={Cubic Hodge integrals and integrable hierarchies of Volterra type},
  author={K. Takasaki},
  journal={arXiv: Mathematical Physics},
  year={2019}
}
  • K. Takasaki
  • Published 2019
  • Physics, Mathematics
  • arXiv: Mathematical Physics
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… Expand
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