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Triangulated Categories

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Triangulated Categories

Triangulated Categories

Thorsten Holm, Leibniz Universität Hannover, Germany
Peter Jørgensen, University of Newcastle upon Tyne
Raphaël Rouquier, University of Oxford
June 2010
Paperback
9780521744317
$83.99
USD
Paperback
USD
eBook
    Description

    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.

    • Ideal reference for mathematicians interested in modern aspects of triangulated categories
    • Explores applications from very different areas of mathematics
    • A suitable introduction to the subject for graduate students

    Product details

    June 2010
    Paperback
    9780521744317
    472 pages
    226 × 150 × 25 mm
    0.69kg
    Available

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    Table of Contents

    • 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.
      • Show more

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    Additional Information
    About the authors
      Contributors

    • Luchezar Avramov, Srikanth Iyengar, Bernhard Keller, Henning Krause, Ralf Meyer, Ryszard Nest, Amnon Neeman, Stefan Schwede, Raphaël Rouquier, Pierre Schapira, Yukinobu Toda, Amnon Yekutieli

      • Editors
    • Thorsten Holm , Leibniz Universität Hannover, Germany

      Thorsten Holm is a Professor in the Faculty of Mathematics and Physics at Leibniz Universität Hannover.

    • Peter Jørgensen , University of Newcastle upon Tyne

      Peter Jørgensen is Professor of Mathematics at Newcastle University.

    • Raphaël Rouquier , University of Oxford

      Raphaël Rouquier is Waynflete Professor of Pure Mathematics in the Mathematical Institute at the University of Oxford.

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