Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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 2010 collection of survey articles, written by leading experts, covers fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. These self-contained articles are a useful introduction for graduate students entering the field and a valuable reference for experts.