Manifolds, Sheaves, and Cohomology
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 loca...
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Autor Corporativo: | |
Formato: | Libro electrónico |
Idioma: | Inglés |
Publicado: |
Wiesbaden :
Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum
2016.
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Colección: | Springer Studium Mathematik - Master.
Springer eBooks. |
Acceso en línea: | Conectar con la versión electrónica |
Ver en Universidad de Navarra: | https://innopac.unav.es/record=b34537223*spi |
Tabla de Contenidos:
- 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.