Corpus ID: 203593080

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}
}
  • Kanehisa Takasaki
  • Published 2019
  • Mathematics, 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… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Citations

    Publications citing this paper.
    SHOWING 1-2 OF 2 CITATIONS

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 38 REFERENCES

    Fractional Volterra hierarchy

    VIEW 10 EXCERPTS
    HIGHLY INFLUENTIAL

    The Topological Vertex

    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    A formula of two-partition Hodge integrals

    VIEW 10 EXCERPTS
    HIGHLY INFLUENTIAL

    Hodge Integrals and Integrable Hierarchies

    VIEW 9 EXCERPTS
    HIGHLY INFLUENTIAL

    Toda hierarchies and their applications

    VIEW 1 EXCERPT