Triangulated categories of singularities and equivalences between Landau-Ginzburg models

Abstract

In this paper we prove an existence of some type of equivalences between triangulated categories of singularities for varieties of different dimensions. This class of equivalences generalizes so called Knörrer periodicity. As consequence we get equivalences between categories of D-branes of type B on Landau-Ginzburg models of different dimensions.

14 pp., LaTeX

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