Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals

Autor: Liu, Si-Qi, Wang, Zhe, Zhang, Youjin
Rok vydání: 2021
Předmět:
Zdroj: SIGMA 18 (2022), 037, 18 pages
Druh dokumentu: Working Paper
DOI: 10.3842/SIGMA.2022.037
Popis: We construct a certain reduction of the 2D Toda hierarchy and obtain a tau-symmetric Hamiltonian integrable hierarchy. This reduced integrable hierarchy controls the linear Hodge integrals in the way that one part of its flows yields the intermediate long wave hierarchy, and the remaining flows coincide with a certain limit of the flows of the fractional Volterra hierarchy which controls the special cubic Hodge integrals.
Databáze: arXiv