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.

58 pages, 3rd version

References in corpus (2)

• FJRW rings and Landau-Ginzburg Mirror Symmetry
• Landau-Ginzburg/Calabi-Yau Correspondence of all Genera for Elliptic Orbifold $p^1$

Cited by in corpus (1)

• Virasoro constraints in quantum singularity theories