Triangulated categories of singularities and D-branes in Landau-Ginzburg models

Mathematics – Algebraic Geometry

Scientific paper

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24 pp., LaTeX, Dedicated to the blessed memory of Andrei Nikolaevich Tyurin -- adviser and friend, version 2 (some minor chang

Scientific paper

In spite of physics terms in the title, this paper is purely mathematical.
Its purpose is to introduce triangulated categories related to singularities of
algebraic varieties and establish a connection of these categories with
D-branes in Landau-Ginzburg models.

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