TL;DR
This paper reviews the theory of toric Landau-Ginzburg models as an effective approach to mirror symmetry for Fano varieties, focusing on low-dimensional cases and specific classes like complete intersections and Grassmannians.
Contribution
It provides a comprehensive overview of toric Landau-Ginzburg models and discusses conjectures linking invariants of Fano varieties with their Landau-Ginzburg counterparts.
Findings
Analysis of mirror symmetry in dimensions 2 and 3
Discussion of conjectures relating invariants of Fano varieties and LG models
Application to complete intersections and Grassmannians
Abstract
This is a review of the theory of toric Landau-Ginzburg models - the effective approach to mirror symmetry for Fano varieties. We mainly focus on the cases of dimensions 2 and 3, as well as on the case of complete intersections in weighted projective spaces and Grassmannians. Conjectures that relate invariants of Fano varieties and their Landau--Ginzburg models, such as Katzarkov-Kontsevich-Pantev conjectures, are also studied.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.