Table of Contents

*Frontmatter, pg. i*Contents, pg. vii*Preface, pg. ix*Acknowledgments, pg. xii*Introduction, pg. 1*I. Clifford Algebras, Spin Groups and Their Representations, pg. 7*II. Spin Geometry and the Dirac Operators, pg. 77*III. Index Theorems, pg. 166*IV. Applications in Geometry and Topology, pg. 278*Appendix A. Principal G-Bundles, pg. 370*Appendix B. Classifying Spaces and Characteristic Classes, pg. 376*Appendix C. Orientation Classes and Thom Isomorphisms in K-Theory, pg. 384*Appendix D. Spin'-Manifolds, pg. 390*Bibliography, pg. 402*Index, pg. 417*Notation Index, pg. 425