Triangulated categories /

"Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of trian...

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Otros Autores: Holm, Thorsten, 1965- (Editor ), Jørgensen, Peter, 1970- (Editor ), Rouquier, Raphaël. (Editor )
Formato: Libro
Idioma:English
Publicado: Cambridge ; New York : Cambridge University Press, 2010.
Series:London Mathematical Society lecture note series ; 375.
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Tabla de Contenidos:
  • Triangulated categories : definitions, properties, and examples /
  • Thorsten Holm and Peter Jørgensen
  • Cohomology over complete intersections via exterior algebras /
  • Luchezar L. Avramov and Srikanth B. Iyengar
  • Cluster algebras, quiver representations and triangulated categories /
  • Bernhard Keller
  • Localization theory for triangulated categories /
  • Henning Krause
  • Homological algebra in bivariant K-theory and other triangulated categories. I /
  • Ralf Meyer and Ryszard Nest
  • Derived categories and Grothendieck duality /
  • Amnon Neeman
  • Derived categories and algebraic geometry /
  • Raphaël Rouquier
  • Triangulated categories for the analysts /
  • Pierre Schapira
  • Algebraic versus topological triangulated categories /
  • Stefan Schwede
  • Derived categories of coherent sheaves on algebraic varieties /
  • Yukinobu Toda
  • Rigid dualizing complexes via differential graded algebras (survey) /
  • Amnon Yekutieli.