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Title
Manifolds, sheaves, and cohomology [electronic resource] / Torsten Wedhorn.
ISBN
9783658106331 (electronic book)
3658106336 (electronic book)
9783658106324
Published
Wiesbaden : Springer Spektrum, 2016.
Language
English
Description
1 online resource (xvi, 354 pages) : illustrations.
Item Number
10.1007/978-3-658-10633-1 doi
Call Number
QA613
Dewey Decimal Classification
514/.34
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed August 4, 2016).
Series
Springer Studium Mathematik -- Master
Available in Other Form
Print version: 9783658106324
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.