Spin-Manifolds and Group Actions
Let X be a compact oriented differentiable n-dimensional manifold (all manifolds are without boundary except in § 4) on which a Riemannian metric is introduced. Let Q be the principal tangential SO (n)-bundle of X.
KeywordsComplex Vector Bundle Positive Imaginary Part Lefschetz Theorem Pontrjagin Class Quaternionic Projective Space
Unable to display preview. Download preview PDF.
- [4.Characteristic classes and homogeneous spaces, II. Amer. J. of Math. 81, 315–382 (1959).Google Scholar
- Hirzebruch, F.: Topological methods in algebraic geometry. Third enlarged edition, Berlin-Heidelberg-New York: Springer 1966.Google Scholar
- Kosniowski, C.: Applications of the holomorphic Lefschetz formula. Bull. London Math. Soc. 1969. [To appear.]Google Scholar