Appendix B. Classifying Spaces and Characteristic Classes

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface ix
4. Acknowledgments xii
5. Introduction 1
6. I. Clifford Algebras, Spin Groups and Their Representations 7
7. II. Spin Geometry and the Dirac Operators 77
8. III. Index Theorems 166
9. IV. Applications in Geometry and Topology 278
10. Appendix A. Principal G-Bundles 370
11. Appendix B. Classifying Spaces and Characteristic Classes 376
12. Appendix C. Orientation Classes and Thom Isomorphisms in K-Theory 384
13. Appendix D. Spin‘-Manifolds 390
14. Bibliography 402
15. Index 417
16. Notation Index 425