The loop equation for the Burgers--KdV hierarchy

Fuente: arXiv
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Auteurs principaux: Yang, Di, Zhou, Chunhui
Format: Preprint
Publié: 2024
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author Yang, Di
Zhou, Chunhui
author_facet Yang, Di
Zhou, Chunhui
contents The Burgers--KdV hierarchy was introduced towards understanding intersection numbers on the moduli space of Riemann surfaces with boundaries. The goal of this paper is to derive the Dubrovin--Zhang type loop equation for the topological tau-function of the Burgers--KdV hierarchy. As as application, we provide some relations for open intersection numbers.
format Preprint
id arxiv_https___arxiv_org_abs_2409_12529
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The loop equation for the Burgers--KdV hierarchy
Yang, Di
Zhou, Chunhui
Mathematical Physics
Exactly Solvable and Integrable Systems
The Burgers--KdV hierarchy was introduced towards understanding intersection numbers on the moduli space of Riemann surfaces with boundaries. The goal of this paper is to derive the Dubrovin--Zhang type loop equation for the topological tau-function of the Burgers--KdV hierarchy. As as application, we provide some relations for open intersection numbers.
title The loop equation for the Burgers--KdV hierarchy
topic Mathematical Physics
Exactly Solvable and Integrable Systems
url https://arxiv.org/abs/2409.12529