VOL. 83 | 2019 A brief survey of FJRW theory
Amanda E. Francis, Tyler J. Jarvis, Nathan Priddis

Editor(s) Kentaro Hori, Changzheng Li, Si Li, Kyoji Saito

Adv. Stud. Pure Math., 2019: 19-53 (2019) DOI: 10.2969/aspm/08310019

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

PROCEEDINGS ARTICLE
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