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Triangulated Categories
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About This Book
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.
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Yes, you can access Triangulated Categories by Thorsten Holm,Peter Jørgensen,Raphaël Rouquier in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover
- Title
- Copyright
- Contents
- Preface
- Triangulated categories: definitions, properties, and examples
- Cohomology over complete intersections via exterior algebras
- Cluster algebras, quiver representations and triangulated categories
- Localization theory for triangulated categories
- Homological algebra in bivariant K-theory and other triangulated categories. I
- Derived categories and Grothendieck duality
- Derived categories and algebraic geometry
- Triangulated categories for the analysts
- Algebraic versus topological triangulated categories
- Derived categories of coherent sheaves on algebraic varieties
- Rigid dualizing complexes via differential graded algebras (survey)