Laurent polynomials in Mirror Symmetry: why and how?

Kasprzyk, Alexander; Przyjalkowski, Victor

Abstract

We survey the approach to mirror symmetry via Laurent polynomials, outlining some of the main conjectures, problems, and questions related to the subject. We discuss: how to construct Landau-Ginzburg models for Fano varieties; how to apply them to classification problems; and how to compute invariants of Fano varieties via Landau-Ginzburg models.

Citation

Kasprzyk, A., & Przyjalkowski, V. (2022). Laurent polynomials in Mirror Symmetry: why and how?. Proyecciones Journal of Mathematics, 41(2), 481-515. https://doi.org/10.22199/issn.0717-6279-5279

• Journal Article Type: Article
• Acceptance Date: Dec 30, 2021
• Online Publication Date: Apr 1, 2022
• Publication Date: Apr 1, 2022
• Deposit Date: Feb 15, 2022
• Publicly Available Date: Apr 2, 2022
• Journal: Proyecciones (Antofagasta)
• Electronic ISSN: 0717-6279
• Publisher: Universidad Catolica del Norte - Chile
• Peer Reviewed: Peer Reviewed
• Volume: 41
• Issue: 2
• Pages: 481-515
• DOI: https://doi.org/10.22199/issn.0717-6279-5279
• Keywords: General Mathematics
• Public URL: https://nottingham-repository.worktribe.com/output/7468389