The Hodge-FVH Correspondence

2019/06/17 by Siqi Liu, Di Yang, Liu, Si-Qi +5 · 2 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1906.06860

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.

Citations

• Remarks on intersection numbers and integrable hierarchies. I. Quasi-triviality

Cited by

• Open Hurwitz numbers and the mKP hierarchy
• The two--component discrete KP hierarchy

Related

• The Loop Equation for Special Cubic Hodge Integrals
• Hodge-GUE correspondence and the discrete KdV equation
• KP hierarchy for Hodge integrals
• Hodge Integrals and Integrable Hierarchies
• Hodge integrals in FJRW theory