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; University of California, Berkeley, USA
![Landau–Ginzburg mirror symmetry conjecture cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-24-issue-8.png&w=3840&q=90)
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