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Gelfand, Manin - Homological Algebra, [Djvu - Eng] [TNTVillage]
Release Originale: http://forum.tntvillage.scam...g/index.php?showtopic=268784 .:Details:. Titolo originale: Algebra V: Homological Algebra Editori: Gelfand, S.I., Manin, Yu.I., Kostrikin, A.I. (ed.), Shafarevich, I.R. (ed.) Edizione: Springer-Verlag 1994 ISBN: 978-3-540-53373-3 Numero di pagine: 222 Dimensione: 1.4 MB .:Abstract:. Introduction Chapter 1. Complexes and Cohomology Complexes and the Exact Sequence Standard Complexes in Algebra and in Geometry Spectral Sequence Chapter 2. The Language of Categories Categories and Functors Additive and Abelian Categories Functors in Abelian Categories Classical Derived Functors Chapter 3. Homology Groups in Algebra and in Geometry Small Dimensions Obstructions, Torsors, Characteristic Classes Cyclic (Co)Homology Non-Commutative Differential Geometry (Co)Homology of Discrete Groups Generalities on Lie Algebras Cohomology Continuous Cohomology of Lie Groups Cohomology of Infinite-Dimensional Lie Algebras Chapter 4. Derived Categories and Derived Functors Definition of the Derived Category Derived Category as the Localization of Homotopic Category Structure of the Derived Category Derived Functors Sheaf Cohomology Chapter 5. Triangulated Categories Main Notions Examples Cores Chapter 6. Mixed Hodge Structures Introduction The Category of Hodge Structures Mixed Hodge Structures on Cohomology with Constant Coefficients Hodge Structures on Homotopic Invariants Hodge-Deligne Complexes Hodge-Deligne Complexes for Singular and Simplicial Varieties Hodge-Beilinson Complexes and Derived Categories of Hodge Structures Variations of Hodge Structures Chapter 7. Perverse Sheaves Perverse Sheaves Glueing Chapter 8. D-Modules Introduction The Weyl Algebra Algebraic D-Modules Inverse Image Direct Image Holonomic Modules Regular Connections D-Modules with Regular Singularities Equivalence of Categories (Riemann-Hilbert Correspondence) .:COVERS:. Sharing Widget |