Characteristic Classes. (AM-76), Volume 76 / / James D. Stasheff, John Milnor.
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds.In this volume, t...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1974 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
76 |
| Online Access: | |
| Physical Description: | 1 online resource (340 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- §1. Smooth Manifolds
- §2. Vector Bundles
- §3. Constructing New Vector Bundles Out of Old
- §4. Stiefel-Whitney Classes
- §5. Grassmann Manifolds and Universal Bundles
- §6. A Cell Structure for Grassmann Manifolds
- §7. The Cohomology Ring H*(Gn; Z/2)
- §8. Existence of Stiefel-Whitney Classes
- §9. Oriented Bundles and the Euler Class
- §10. The Thom Isomorphism Theorem
- §11. Computations in a Smooth Manifold
- §12. Obstructions
- §13. Complex Vector Bundles and Complex Manifolds
- §14. Chern Classes
- §15. Pontrjagin Classes
- §16. Chern Numbers and Pontrjagin Numbers
- §17. The Oriented Cobordism Ring Ω*
- §18. Thom Spaces and Transversality
- §19. Multiplicative Sequences and the Signature Theorem
- §20. Combinatorial Pontrjagin Classes
- Epilogue
- Appendix A: Singular Homology and Cohomology
- Appendix B: Bernoulli Numbers
- Appendix C: Connections, Curvature, and Characteristic Classes
- Bibliography
- Index