Wedhorn, Torsten
Manifolds, sheaves, and cohomology [Documento eletrónico] / Torsten Wedhorn. - Wiesbaden : Springer , 2016 . - XVI, 354 p. : il.. - (Springer Studium Mathematik ) : Master 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-658-10633-1
Álgebra
Grupos topológicos
Geometria diferencial global
Análise global (Matemática)
LCC QA169
Manifolds, sheaves, and cohomology [Documento eletrónico] / Torsten Wedhorn. - Wiesbaden : Springer , 2016 . - XVI, 354 p. : il.. - (Springer Studium Mathematik ) : Master 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-658-10633-1
Álgebra
Grupos topológicos
Geometria diferencial global
Análise global (Matemática)
LCC QA169
