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Manifolds, sheaves, and cohomology

Wedhorn, Torsten.

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Manifolds, sheaves, and cohomology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Manifolds, sheaves, and cohomology/ by Torsten Wedhorn.
Author:	Wedhorn, Torsten.
Published:	Wiesbaden :Springer Fachmedien Wiesbaden : : 2016.,
Description:	xvi, 354 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Manifolds (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-3-658-10633-1
ISBN:	9783658106331

Manifolds, sheaves, and cohomology
Wedhorn, Torsten.

Manifolds, sheaves, and cohomology[electronic resource] /by Torsten Wedhorn. - Wiesbaden :Springer Fachmedien Wiesbaden :2016. - xvi, 354 p. :ill., digital ;24 cm. - Springer studium mathematik - master. - Springer studium mathematik - master..

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 Universitat Darmstadt, Germany.

ISBN: 9783658106331

Standard No.: 10.1007/978-3-658-10633-1doiSubjects--Topical Terms:

612607
Manifolds (Mathematics)

LC Class. No.: QA613 / .W434 2016

Dewey Class. No.: 514.34

Manifolds, sheaves, and cohomology
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100 1 $a Wedhorn, Torsten. $3 1245237
245 1 0 $a Manifolds, sheaves, and cohomology $h [electronic resource] / $c by Torsten Wedhorn.
260 $a Wiesbaden : $b Springer Fachmedien Wiesbaden : $b Imprint: Springer Spektrum, $c 2016.
300 $a xvi, 354 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer studium mathematik - master
505 0 $a 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.
520 $a 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 Universitat Darmstadt, Germany.
650 0 $a Manifolds (Mathematics) $3 612607
650 0 $a Sheaf theory. $3 612610
650 0 $a Cohomology operations. $3 778995
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Category Theory, Homological Algebra. $3 899944
650 2 4 $a Topological Groups, Lie Groups. $3 891005
650 2 4 $a Differential Geometry. $3 891003
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 891107
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer studium mathematik - master. $3 2203635
856 4 0 $u http://dx.doi.org/10.1007/978-3-658-10633-1
950 $a Mathematics and Statistics (Springer-11649)