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Characteristic Classes. (AM-76)
monograph
Author(s):
John Milnor
,
James D. Stasheff
Publication date:
December 31 1974
Publisher:
Princeton University Press
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ISBN (Electronic):
9781400881826
Publication date:
December 31 1974
DOI:
10.1515/9781400881826
SO-VID:
a3556e16-74bc-4d70-9b7f-e8ebb5c39105
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Book chapters
pp. i
Frontmatter
pp. v
Preface
pp. vii
Contents
pp. 1
§1. Smooth Manifolds
pp. 13
§2. Vector Bundles
pp. 25
§3. Constructing New Vector Bundles Out of Old
pp. 37
§4. Stiefel-Whitney Classes
pp. 55
§5. Grassmann Manifolds and Universal Bundles
pp. 73
§6. A Cell Structure for Grassmann Manifolds
pp. 83
§7. The Cohomology Ring H*(Gn; Z/2)
pp. 89
§8. Existence of Stiefel-Whitney Classes
pp. 95
§9. Oriented Bundles and the Euler Class
pp. 105
§10. The Thom Isomorphism Theorem
pp. 115
§11. Computations in a Smooth Manifold
pp. 139
§12. Obstructions
pp. 149
§13. Complex Vector Bundles and Complex Manifolds
pp. 155
§14. Chern Classes
pp. 173
§15. Pontrjagin Classes
pp. 183
§16. Chern Numbers and Pontrjagin Numbers
pp. 199
§17. The Oriented Cobordism Ring Ω*
pp. 205
§18. Thom Spaces and Transversality
pp. 219
§19. Multiplicative Sequences and the Signature Theorem
pp. 231
§20. Combinatorial Pontrjagin Classes
pp. 249
Epilogue
pp. 257
Appendix A: Singular Homology and Cohomology
pp. 281
Appendix B: Bernoulli Numbers
pp. 289
Appendix C: Connections, Curvature, and Characteristic Classes
pp. 315
Bibliography
pp. 325
Index
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