Manifolds, sheaves, and cohomology / Torsten Wedhorn.
Material type:
TextSeries: Springer studium mathematik - masterPublication details: New York : Springer, 2016.Description: xvi, 354 pages : illustrations ; 25 cmISBN: - 9783658106324 (softcover : alk. paper)
- 514.34 23 W393
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.34 W393 (Browse shelf(Opens below)) | Available | 137999 |
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| 514.34 C276 Quantum triangulations : | 514.34 Sa258 Topology of infinite-dimensional manifolds/ | 514.34 V672 Representing 3-manifolds by filling Dehn surfaces / | 514.34 W393 Manifolds, sheaves, and cohomology / | 514.5 H684 Treatise on plane trigonometry | 514.5 W667 Plane trigonometry and applications | 514.6 C338 Treatise on spherical trigonometry |
Includes bibliographical references and index.
1. Topological Preliminaries --
2. Algebraic Topological Preliminaries --
3. Sheaves --
4. Manifolds --
5. Local Theory of Manifolds --
6. Lie Groups --
7. Torsors and Non-abelian Cech Cohomology --
8. Bundles --
9. Soft Sheaves --
10. Cohomology of Complexes of Sheaves --
11. Cohomology of Constant Sheaves --
12. Appendix A: Basic Topology,
13. Appendix B: The Language of Categories,
14. Appendix C: Basic Algebra,
15. Appendix D: Homological Algebra,
16. Appendix E: 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.
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