Triangulated categories / edited by Thorsten Holm, Peter Jørgensen, Raphaël Rouquier.
"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 triangulat...
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| Other Authors: | , , |
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| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2010.
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| Series: | London Mathematical Society lecture note series ;
375. |
| Subjects: | |
| Physical Description: | vii, 463 pages : illustrations ; 23 cm. |
| Format: | Book |
Contents:
- Machine generated contents note: Preface; Introduction; 1. Cohomology over complete intersections via exterior algebras Luchezar Avramov and Srikanth Iyengar; 2. Cluster algebras, quiver representations and triangulated categories Bernhard Keller; 3. Localization for triangulated categories Henning Krause; 4. Homological algebra in bivariant K-theory and other triangulated categories Ralf Meyer and Ryszard Nest; 5. Derived categories and Grothendieck duality Amnon Neeman; 6. Algebraic versus topological triangulated categories Stefan Schwede; 7. Derived categories and algebraic geometry Raphaël Rouquier; 8. Triangulated categories for the analysts Pierre Schapira; 9. Derived categories of coherent sheaves on algebraic varieties Yukinobu Toda; 10. Rigid dualizing complexes via differential graded algebras Amnon Yekutieli.