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＜E-Book＞
Manifolds, Sheaves, and Cohomology / by Torsten Wedhorn
(Springer Studium Mathematik - Master. ISSN:25099329)

Edition	1st ed. 2016.
Publisher	(Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum)
Year	2016
Size	XVI, 354 p. 9 illus : online resource
Authors	*Wedhorn, Torsten author SpringerLink (Online service)
Subjects	LCSH:Algebra, Homological LCSH:Topological groups LCSH:Lie groups LCSH:Geometry, Differential LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) FREE:Category Theory, Homological Algebra FREE:Topological Groups and Lie Groups FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds
Notes	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 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 HTTP:URL=https://doi.org/10.1007/978-3-658-10633-1

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