McKay correspondence for Landau-Ginzburg models

TL;DR

This paper establishes a McKay correspondence analogue for Landau-Ginzburg models using derived category techniques, extending classical results to a new mathematical context.

Contribution

It introduces a novel McKay correspondence framework for Landau-Ginzburg models, building on Bridgeland, King, Reid, and Chen's methods.

Findings

Proved an analogue of the McKay correspondence for Landau-Ginzburg models

Extended derived category techniques to new mathematical structures

Provided a new perspective on Landau-Ginzburg models in algebraic geometry

Abstract

In this paper we prove an analogue of the McKay correspondence for Landau-Ginzburg models. Our proof is based on the ideas introduced by T. Bridgeland, A. King and M. Reid, which reformulate and generalize the McKay correspondence in the language of derived categories, along with the techniques introduced by J.-C. Chen.