96 citations · 194 across the 16 of their papers we have counts for
17 papers
Constructing the LG/CY isomorphism between geometries
Huijun Fan, Tian Lan, Zongrui Yang
For a nondegenerate homogeneous polynomial with degree , we can obtain a structure from the Landau-Ginzburg model $(\C^{n+2}, f)$…
LG/CY correspondence between geometries
Huijun Fan, Tian Lan, Zongrui Yang
The concept of geometric structure was introduced by physicists (see \cite{CV1, BCOV} and references therein) , and then studied firstly in mathematics by C. Hertling \cite{…
Fukaya category of Landau-Ginzburg model
Huijun Fan, Wenfeng Jiang, Dingyu Yang
This article introduces and provides the mathematical foundation of the open string Floer theory of Landau-Ginzburg model viaWitten equation. We introduce the concept of regular ta…
Torsion type invariants of singularities
Huijun Fan, Hao Fang
Inspired by the LG/CY correspondence, we study the local index theory of the Schrödinger operator associated to a singularity defined on by a quasi-homogeneous poly…
The Moduli Space in the Gauged Linear Sigma Model
Huijun Fan, Tyler Jarvis, Yongbin Ruan
This is a survey article for the mathematical theory of Witten's Gauged Linear Sigma Model, as developed recently by the authors. Instead of developing the theory in the most gener…
A Mathematical Theory of the Gauged Linear Sigma Model
Huijun Fan, Tyler Jarvis, Yongbin Ruan
We construct a mathematical theory of Witten's Gauged Linear Sigma Model (GLSM). Our theory applies to a wide range of examples, including many cases with non-Abelian gauge group.…