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.
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.
Received: 21.02.2011 Revised: 09.04.2011
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Article
Language: English
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