Abstract
Let X be a compact oriented differentiable n-dimensional manifold (all manifolds are without boundary except in ยง 4) on which a Riemannian metric is introduced. Let Q be the principal tangential SO (n)-bundle of X.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Atiyah, M. F., and R. Bott: A Lefschetz fixed point formula for elliptic complexes, II. Applications. Ann. of Math. 88, 451โ491 (1968).
Atiyah, M. F., and I. M. Singer: The index of elliptic operators, III. Ann. of Math. 87, 546โ604 (1968).
Borel, A., and F. Hirzebruch: Characteristic classes and homogeneous spaces, I. Amer. J. of Math. 80, 458โ538 (1958).
Characteristic classes and homogeneous spaces, II. Amer. J. of Math. 81, 315โ382 (1959).
Hirzebruch, F.: Topological methods in algebraic geometry. Third enlarged edition, Berlin-Heidelberg-New York: Springer 1966.
Kosniowski, C.: Applications of the holomorphic Lefschetz formula. Bull. London Math. Soc. 1969. [To appear.]
Lichnerowicz, A.: Spineurs harmoniques. Paris: C. R. Acad. Sci. 257, 7โ9 (1963).
Rights and permissions
Copyright information
ยฉ 1970 Springer-Verlag Berlin ยท Heidelberg
About this chapter
Cite this chapter
Atiyah, M., Hirzebruch, F. (1970). Spin-Manifolds and Group Actions. In: Essays on Topology and Related Topics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-49197-9_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-49197-9_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-49199-3
Online ISBN: 978-3-642-49197-9
eBook Packages: Springer Book Archive