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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 246, Pages 240–262 (Mi tm158)  
This article is cited in 259 scientific papers (total in 259 papers)

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

D. O. Orlov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (323 kB) Citations (259)
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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.
Received in February 2004
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
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://mathscinet.ams.org/mathscinet-getitem?mr=2101296}
\zmath{https://zbmath.org/?q=an:1101.81093}
\adsnasa{https://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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    • This publication is cited in the following 259 articles:
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