Landau–Ginzburg mirror symmetry conjecture

  • Weiqiang He

    Sun Yat-sen University, Guangzhou, China
  • Si Li

    Tsinghua University, Beijing, China
  • Yefeng Shen

    University of Oregon, Eugene, USA
  • Rachel Webb

    University of Michigan, Ann Arbor; University of California, Berkeley, USA
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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