Orlov, D. O. Triangulated categories of singularities and D-branes in Landau-Ginzburg models. (English. Russian original) Zbl 1101.81093 Proc. Steklov Inst. Math. 246, 227-248 (2004); translation from Tr. Mat. Inst. Steklova 246, 240-262 (2004). Summary: Triangulated categories of singularities are defined and their main properties are investigated. A connection between categories of such type and categories of D-brane of \(B\) type in Landau-Ginzburg models is established. This connection is interesting by its applications to mirror symmetry.For the entire collection see [Zbl 1087.14002]. Cited in 11 ReviewsCited in 225 Documents MSC: 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 14E15 Global theory and resolution of singularities (algebro-geometric aspects) 18E30 Derived categories, triangulated categories (MSC2010) PDFBibTeX XMLCite \textit{D. O. Orlov}, in: Algebraic geometry. Methods, relations, and applications. Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin. Moscow: Maik Nauka/Interperiodica. 227--248 (2004; Zbl 1101.81093); translation from Tr. Mat. Inst. Steklova 246, 240--262 (2004) Full Text: arXiv