A Brief Survey of FJRW Theory

Abstract

In this paper we describe some of the constructions of FJRW theory. We also briefly describe its relation to Saito-Givental theory via Landau-Ginzburg mirror symmetry and its relation to Gromov-Witten theory via the Landau-Ginzburg/Calabi-Yau correspondence. We conclude with a discussion of some of the recent results in the field.

References in corpus (4)

• FJRW rings and Landau-Ginzburg Mirror Symmetry
• A Mathematical Theory of the Gauged Linear Sigma Model
• Double ramification cycles and integrable hierarchies
• A proof of the Landau-Ginzburg/Calabi-Yau correspondence via the crepant transformation conjecture

Cited by in corpus (5)

• D-brane central charge and Landau-Ginzburg orbifolds
• Mirror Symmetry for Nonabelian Landau-Ginzburg Models
• A Mirror Theorem between Landau-Ginzburg models
• A twisted ${\bar{\partial }}_f$-Neumann problem and Toeplitz $n$-tuples from singularity theory
• On the L2-Hodge theory of Landau-Ginzburg models