A Landau-Ginzburg mirror theorem via matrix factorizations

Abstract

For an in invertible quasihomogeneous singularity $w$ we prove an all-genus mirror theorem establishing an isomorphism between two cohomological field theories. On the $B$-side it is the Saito-Givental theory given by a certain choice of a primitive form. On the $A$-side, it is the reduced matrix factorization CohFT for the dual singularity $w^T$ with the maximal diagonal symmetry group.

arXiv comment58 pages, 3rd version

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Cited by in corpus (1)

• Virasoro constraints in quantum singularity theories