Manifolds, sheaves, and cohomology [electronic resource] / Torsten Wedhorn.
Wedhorn, Torsten, author.
2016
QA613
Available Online

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Title Manifolds, sheaves, and cohomology [electronic resource] / Torsten Wedhorn.
Author Wedhorn, Torsten, author.
ISBN 9783658106331 (electronic book)
3658106336 (electronic book)
9783658106324
DOI https://doi.org/10.1007/978-3-658-10633-1
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
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
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.

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