Landau–Ginzburg mirror symmetry conjecture
Weiqiang He
Sun Yat-sen University, Guangzhou, ChinaSi Li
Tsinghua University, Beijing, ChinaYefeng Shen
University of Oregon, Eugene, USARachel Webb
University of Michigan, Ann Arbor; and University of California, Berkeley, USA

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.
Cite this article
Weiqiang He, Si Li, Yefeng Shen, Rachel Webb, Landau–Ginzburg mirror symmetry conjecture. J. Eur. Math. Soc. 24 (2022), no. 8, pp. 2915–2978
DOI 10.4171/JEMS/1155