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Manifolds, sheaves, and cohomology

Record Type:	Language materials, printed : 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.;
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:

672402
Manifolds (Mathematics)

LC Class. No.: QA613 / .W434 2016

Dewey Class. No.: 514.34

Manifolds, sheaves, and cohomology
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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.
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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.
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650 2 4 $a Topological Groups, Lie Groups. $3 672074
650 2 4 $a Differential Geometry. $3 671118
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 672519
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