A Landau-Ginzburg mirror theorem via matrix factorizations

preprint2022arXivOpen access

Abstract

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

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