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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA169. FCT 97029 (Browse shelf) | 1 | Available |
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QA169. FCT 95971 Algebraic operads | QA169. FCT 96471 Local homotopy theory | QA169. FCT 96813 Lectures on functor homology | QA169. FCT 97029 Manifolds, sheaves, and cohomology | QA169. FCT 97483 Monoidal categories and topological field theory | QA169. FCT 98106 Geometric and topological aspects of the representation theory of finite groups | QA169. FCT 98384 Hopf algebras and their generalizations from a category theoretical point of view |
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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. Content 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 Readership Graduate Students in Mathematics / Master of Science in Mathematics About the Author Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany.
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