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, including the gauged linear sigma model, which is expected to provide a geometric framework for unifying many of these ideas.
Information
Published: 1 January 2019
First available in Project Euclid: 26 December 2019
zbMATH: 07276138
Digital Object Identifier: 10.2969/aspm/08310019
Subjects:
Primary:
14N35
,
53D45
Secondary:
32S05
,
35Q53
,
37K10
,
37K20
Keywords:
Calabi-Yau
,
FJRW theory
,
gauged linear sigma model
,
GLSM
,
Gromov-Witten
,
Landau-Ginzburg
,
quantum singularity
,
Saito-Givental
Rights: Copyright © 2019 Mathematical Society of Japan
