Manifolds, Sheaves, and Cohomology / Springer Studium Mathematik - Master (PDF)
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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
- Autor: Torsten Wedhorn
- 2016, 1st ed. 2016, 354 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3658106336
- ISBN-13: 9783658106331
- Erscheinungsdatum: 25.07.2016
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- Dateiformat: PDF
- Größe: 5.92 MB
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- Vorlesefunktion
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