Laurent polynomials in mirror symmetry
why and how?
DOI:
https://doi.org/10.22199/issn.0717-6279-5279Keywords:
mirror symmetry, Landau–Ginzburg model, Fano variety, log Calabi–Yau, toric degeneration, Hodge numbersAbstract
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.
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