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

## Integrable structures of specialized hypergeometric tau functions

VIEW 3 EXCERPTS
CITES METHODS & BACKGROUND

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

VIEW 3 EXCERPTS
CITES METHODS & BACKGROUND

#### References

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

## Fractional Volterra hierarchy

• Mathematics, Physics
• 2017
VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

## The Topological Vertex

• Mathematics, Physics
• 2005
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

## A formula of two-partition Hodge integrals

• Mathematics, Physics
• 2003
VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

## Hodge Integrals and Integrable Hierarchies

VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

## Deformations of the KdV hierarchy and related soliton equations

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

## Integrable hierarchies and dispersionless limit

• Mathematics, Physics
• 1995
VIEW 4 EXCERPTS

## Hurwitz numbers and integrable hierarchy of Volterra type

VIEW 1 EXCERPT

## Toda hierarchies and their applications

VIEW 1 EXCERPT

## Open string amplitudes of closed topological vertex

• Physics, Mathematics
• 2016
VIEW 2 EXCERPTS

## ILW equation for the Hodge integrals revisited

VIEW 1 EXCERPT