Geodesic
Triangulated Categories of Singularities and D-Branes in Landau--Ginzburg Models
Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 240-262

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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. 
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     author = {D. O. Orlov},
     title = {Triangulated {Categories} of {Singularities} and {D-Branes} in {Landau--Ginzburg} {Models}},
     journal = {Informatics and Automation},
     pages = {240--262},
     publisher = {mathdoc},
     volume = {246},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a16/}
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D. O. Orlov. Triangulated Categories of Singularities and D-Branes in Landau--Ginzburg Models. Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 240-262. http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a16/