A Landau-Ginzburg mirror theorem via matrix factorizations

For an invertible quasihomogeneous polynomial w we prove an all-genus mirror theorem relating two cohomological field theories of Landau-Ginzburg type. On the B-side it is the Saito-Givental theory for a specific choice of a primitive form. On the A-side, it is the matrix factorization CohFT for the dual singularity w(T) with the maximal diagonal symmetry group.

Automated summary

This article proves an all-genus mirror theorem between two cohomological field theories of Landau-Ginzburg type for an invertible quasihomogeneous polynomial w. On the B-side, it is the Saito-Givental theory with a specific choice of a primitive form. On the A-side, it is the matrix factorization CohFT for the dual singularity w(T) with the maximal diagonal symmetry group.