Manifolds, Sheaves, and Cohomology (Springer Studium Mathematik - Master 1st ed. 2016)

Manifolds, Sheaves, and Cohomology (Springer Studium Mathematik - Master 1st ed. 2016)

By: Torsten Wedhorn (author)Paperback

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Description

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.

About Author

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

Contents

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.

Product Details

  • ISBN13: 9783658106324
  • Format: Paperback
  • Number Of Pages: 354
  • ID: 9783658106324
  • weight: 6221
  • ISBN10: 3658106328
  • edition: 1st ed. 2016

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