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Trudy Mat. Inst. Steklova, 2004, Volume 246, Pages 240–262 (Mi tm158)  

This article is cited in 238 scientific papers (total in 238 papers)

Triangulated Categories of Singularities and D-Branes in Landau–Ginzburg Models

D. O. Orlov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: 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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English version:
Proceedings of the Steklov Institute of Mathematics, 2004, 246, 227–248

Bibliographic databases:
ArXiv: math/0302304
UDC: 512.7
Received in February 2004

Citation: D. O. Orlov, “Triangulated Categories of Singularities and D-Branes in Landau–Ginzburg Models”, Algebraic geometry: Methods, relations, and applications, Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 246, Nauka, MAIK Nauka/Inteperiodika, M., 2004, 240–262; Proc. Steklov Inst. Math., 246 (2004), 227–248

Citation in format AMSBIB
\Bibitem{Orl04}
\by D.~O.~Orlov
\paper Triangulated Categories of Singularities and D-Branes in Landau--Ginzburg Models
\inbook Algebraic geometry: Methods, relations, and applications
\bookinfo Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 246
\pages 240--262
\publ Nauka, MAIK Nauka/Inteperiodika
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm158}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2101296}
\zmath{https://zbmath.org/?q=an:1101.81093}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2003math......2304O}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 246
\pages 227--248


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