Manifolds, Sheaves, and Cohomology [[electronic resource] /] / by Torsten Wedhorn
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| Autore: |
Wedhorn Torsten
|
| Titolo: |
Manifolds, Sheaves, and Cohomology [[electronic resource] /] / by Torsten Wedhorn
|
| Pubblicazione: | Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2016 |
| Edizione: | 1st ed. 2016. |
| Descrizione fisica: | 1 online resource (XVI, 354 p. 9 illus.) |
| Disciplina: | 516.07 |
| Soggetto topico: | Category theory (Mathematics) |
| Homological algebra | |
| Topological groups | |
| Lie groups | |
| Differential geometry | |
| Global analysis (Mathematics) | |
| Manifolds (Mathematics) | |
| Category Theory, Homological Algebra | |
| Topological Groups, Lie Groups | |
| Differential Geometry | |
| Global Analysis and Analysis on Manifolds | |
| Nota di contenuto: | Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohomology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis. |
| Sommario/riassunto: | This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples. Content Topological Preliminaries - Algebraic Topological Preliminaries - Sheaves - Manifolds - Local Theory of Manifolds - Lie Groups - Torsors and Non-abelian Cech Cohomology - Bundles - Soft Sheaves - Cohomology of Complexes of Sheaves - Cohomology of Sheaves of Locally Constant Functions - Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis Readership Graduate Students in Mathematics / Master of Science in Mathematics About the Author Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany. |
| Titolo autorizzato: | Manifolds, sheaves, and cohomology |
| ISBN: | 3-658-10633-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910254066503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Springer Studium Mathematik - Master, . 2509-9310