Landau-Ginzburg mirror symmetry conjecture

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Abstract

We prove the Landau-Ginzburg mirror symmetry conjecture between invertible quasihomogeneous polynomial singularities at all genera. That is, we show that the FJRW theory (LG A-model) of such a polynomial is equivalent to the Saito-Givental theory (LG B-model) of the mirror polynomial.

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He, W., Li, S., Shen, Y., & Webb, R. (2022). Landau-Ginzburg mirror symmetry conjecture. Journal of the European Mathematical Society, 24(8), 2915–2978. https://doi.org/10.4171/JEMS/1155

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