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Manifolds, sheaves, and cohomology / Torsten Wedhorn.

By: Material type: TextTextSeries: Springer studium mathematik - masterPublication details: New York : Springer, 2016.Description: xvi, 354 pages : illustrations ; 25 cmISBN:
  • 9783658106324 (softcover : alk. paper)
Subject(s): DDC classification:
  • 514.34 23 W393
Contents:
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.
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.
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Holdings
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
Total holds: 0

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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