MANIFOLDS, SHEAVES, AND COHOMOLOGY

MANIFOLDS, SHEAVES, AND COHOMOLOGY

Editorial:
SPRINGER
Año de edición:
Materia
Matematicas
ISBN:
978-3-658-10632-4
Páginas:
354
N. de edición:
1
Idioma:
Inglés
Ilustraciones:
9
Disponibilidad:
Disponible en 2-3 semanas

Descuento:

-5%

Antes:

59,30 €

Despues:

56,34 €

1. Topological Preliminaries
2. Algebraic Topological Preliminaries
3. Sheaves
4. Manifolds
5. Linearization 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.

Features
• Provides a modern introduction to the theory of manifolds

Author
Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany