Matrix factorizations for nonaffine LG-models
Algebraic Geometry
2012-09-18 v3 Category Theory
Abstract
We propose a natural definition of a category of matrix factorizations for nonaffine Landau-Ginzburg models. For any LG-model we construct a fully faithful functor from the category of matrix factorizations defined in this way to the triangulated category of singularities of the corresponding fiber. We also show that this functor is an equivalence if the total space of the LG-model is smooth.
Cite
@article{arxiv.1101.4051,
title = {Matrix factorizations for nonaffine LG-models},
author = {Dmitri Orlov},
journal= {arXiv preprint arXiv:1101.4051},
year = {2012}
}
Comments
12 pages, minor corrections of TEX file