MathDBThe toric Landau–Ginzburg model existence conjecture
The toric Landau–Ginzburg model existence conjecture
Let be a smooth Fano variety. A toric Landau–Ginzburg model existence conjecture asserts that has a Laurent polynomial satisfying the period, Calabi–Yau, and toric conditions of a toric Landau–Ginzburg model.
This is presented as the strong version of the Mirror Symmetry of Variations of Hodge Structures conjecture. The source gives no resolution status.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
Primary source
Alexander Kasprzyk and Victor Przyjalkowski, “Laurent polynomials in Mirror Symmetry: why and how?”, arXiv:2112.15339 (2021).
Additional references
3 papers in this index state this conjecture (2014–2021). The statement above is taken from the most recent of them; the others are arXiv:1609.09740, arXiv:1409.3729.
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