(DOWNLOAD) "Manifolds, Sheaves, and Cohomology" by Torsten Wedhorn ~ Book PDF Kindle ePub Free
eBook details
- Title: Manifolds, Sheaves, and Cohomology
- Author : Torsten Wedhorn
- Release Date : January 25, 2016
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 12261 KB
Description
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
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