Manifolds, Sheaves, and Cohomology / by Torsten Wedhorn

By:

Wedhorn, Torsten [aut]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Studium Mathematik - Master | SpringerLink BücherPublisher: Wiesbaden : Springer Spektrum, 2016Description: Online-Ressource (XVI, 354 p. 9 illus, online resource)ISBN:

9783658106331

Subject(s):

Genre/Form:

Lehrbuch

Additional physical formats: 9783658106324 | Erscheint auch als: Manifolds, sheaves, and cohomology. Druck-Ausgabe Wiesbaden : Springer Spektrum, 2016. xvi, 354 SeitenMSC: MSC: *55-01 | 55N30 | 57R19 | 18F20 | 55N05 | 32L10 | 32C35RVK: RVK: SK 240LOC classification:

QA169

DOI: DOI: 10.1007/978-3-658-10633-1Online resources:

Summary: 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.Summary: 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.PPN: PPN: 1658427890Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA

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