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Matrix factorizations for nonaffine LG–models

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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.

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  1. Algebra Section, Steklov Mathematical Institute RAN, Gubkin str. 8, Moscow, 119991, Russia

    Dmitri Orlov

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  1. Dmitri Orlov
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Correspondence to Dmitri Orlov.

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This work was partially supported by RFBR grants 10-01-93113, 11-01-00336, 11-01-00568, NSh grant 4713.2010.1,by AG Laboratory HSE, RF government grant, ag. 11.G34.31.0023, and by Simons Center for Geometry and Physics.

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Orlov, D. Matrix factorizations for nonaffine LG–models. Math. Ann. 353, 95–108 (2012). https://doi.org/10.1007/s00208-011-0676-x

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  • DOI: https://doi.org/10.1007/s00208-011-0676-x

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