A Landau-Ginzburg mirror theorem via matrix factorizations
Algebraic Geometry
2022-08-02 v3 High Energy Physics - Theory
Abstract
For an in invertible quasihomogeneous singularity we prove an all-genus mirror theorem establishing an isomorphism between two cohomological field theories. On the -side it is the Saito-Givental theory given by a certain choice of a primitive form. On the -side, it is the reduced matrix factorization CohFT for the dual singularity with the maximal diagonal symmetry group.
Cite
@article{arxiv.2001.00536,
title = {A Landau-Ginzburg mirror theorem via matrix factorizations},
author = {Weiqiang He and Alexander Polishchuk and Yefeng Shen and Arkady Vaintrob},
journal= {arXiv preprint arXiv:2001.00536},
year = {2022}
}
Comments
58 pages, 3rd version