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Triangulated Categories : London Mathematical Society Lecture Note - Thorsten Holm

Triangulated Categories

London Mathematical Society Lecture Note

By: Thorsten Holm (Editor), Peter Jorgensen (Editor), Raphael Rouquier (Editor)

Paperback Published: 24th June 2010
ISBN: 9780521744317
Number Of Pages: 472

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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 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

Prefacep. vii
Triangulated categories: definitions, properties, and examplesp. 1
Cohomology over complete intersections via exterior algebrasp. 52
Cluster algebras, quiver representations and triangulated categoriesp. 76
Localization theory for triangulated categoriesp. 161
Homological algebra in bivariant K-theory and other triangulated categories. Ip. 236
Derived categories and Grothendieck dualityp. 290
Derived categories and algebraic geometryp. 351
Triangulated categories for the analystsp. 371
Algebraic versus topological traingulated categoriesp. 389
Derived categories of coherent sheaves on algebraic varietiesp. 408
Rigid dualizing complexes via differential graded algebras (survey)p. 452
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780521744317
ISBN-10: 0521744318
Series: London Mathematical Society Lecture Note Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 472
Published: 24th June 2010
Country of Publication: GB
Dimensions (cm): 22.7 x 15.4  x 2.9
Weight (kg): 0.688

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