The Hodge-FVH correspondence

Siqi Liu, Di Yang, Youjin Zhang, Chunhui Zhou

2021Journal für die reine und angewandte Mathematik (Crelles Journal)13 citationsDOI

Abstract

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.

Topics & Concepts

HierarchyMathematicsIntegrable systemPure mathematicsAlgebra over a fieldMathematical analysisEconomicsMarket economyAlgebraic Geometry and Number TheoryAlgebraic structures and combinatorial modelsNonlinear Waves and Solitons