Mathematische Annalen

, Volume 353, Issue 1, pp 95–108

Matrix factorizations for nonaffine LG–models


DOI: 10.1007/s00208-011-0676-x

Cite this article as:
Orlov, D. Math. Ann. (2012) 353: 95. doi:10.1007/s00208-011-0676-x


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.

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Algebra Section, Steklov Mathematical Institute RANMoscowRussia