03986nam 22006855 450 991025406650332120200706133107.03-658-10633-610.1007/978-3-658-10633-1(CKB)3710000000765141(DE-He213)978-3-658-10633-1(MiAaPQ)EBC5579476(PPN)194514056(EXLCZ)99371000000076514120160725d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierManifolds, Sheaves, and Cohomology[electronic resource] /by Torsten Wedhorn1st ed. 2016.Wiesbaden :Springer Fachmedien Wiesbaden :Imprint: Springer Spektrum,2016.1 online resource (XVI, 354 p. 9 illus.) Springer Studium Mathematik - Master,2509-93103-658-10632-8 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.Springer Studium Mathematik - Master,2509-9310Category theory (Mathematics)Homological algebraTopological groupsLie groupsDifferential geometryGlobal analysis (Mathematics)Manifolds (Mathematics)Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035Topological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Global Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Category 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.516.07Wedhorn Torstenauthttp://id.loc.gov/vocabulary/relators/aut755965MiAaPQMiAaPQMiAaPQBOOK9910254066503321Manifolds, sheaves, and cohomology1523430UNINA