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 (13)

• The structure of 2D semi-simple field theories
• Tautological relations and the r-spin Witten conjecture
• FJRW rings and Landau-Ginzburg Mirror Symmetry
• The moduli space of stable quotients
• Landau-Ginzburg/Calabi-Yau correspondence for quintic three-folds via symplectic transformations
• Moduli stacks of stable toric quasimaps
• Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
• 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
• Comparing tautological relations from the equivariant Gromov-Witten theory of projective spaces and spin structures
• On rational Frobenius Manifolds of rank three with symmetries
• Orbifolding Frobenius Algebras

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