TY - BOOK AU - Wedhorn,Torsten TI - Manifolds, sheaves, and cohomology T2 - Springer studium mathematik - master SN - 9783658106324 (softcover : alk. paper) U1 - 514.34 23 PY - 2016/// CY - New York : PB - Springer KW - Manifolds (Mathematics) KW - Sheaf theory. KW - Cohomology operations N1 - Includes bibliographical references and index; 1. Topological Preliminaries -- 2. Algebraic Topological Preliminaries -- 3. Sheaves -- 4. Manifolds -- 5. Local Theory 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. N2 - 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. ER -