The Hodge-FVH Correspondence
Mathematical Physics
2020-12-11 v2 Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
The Hodge-FVH correspondence establishes a relationship between the special cubic Hodge integrals and an integrable hierarchy, which is called the fractional Volterra hierarchy. In this paper we prove this correspondence. As an application of this result, we prove a gap condition for certain special cubic Hodge integrals and give an algorithm for computing the coefficients that appear in the gap condition.
Keywords
Cite
@article{arxiv.1906.06860,
title = {The Hodge-FVH Correspondence},
author = {Si-Qi Liu and Di Yang and Youjin Zhang and Chunhui Zhou},
journal= {arXiv preprint arXiv:1906.06860},
year = {2020}
}
Comments
Added Proposition 1.2 and Theorem 1.3; added references; corrected typos; 43 pages