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Manifolds, sheaves, and cohomology

Wedhorn, Torsten.

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Manifolds, sheaves, and cohomology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Manifolds, sheaves, and cohomology/ by Torsten Wedhorn.
作者:	Wedhorn, Torsten.
出版者:	Wiesbaden :Springer Fachmedien Wiesbaden : : 2016.,
面頁冊數:	xvi, 354 p. :ill., digital ;24 cm.
內容註:	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
標題:	Manifolds (Mathematics) -
電子資源:	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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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 891005
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