Cohomology theory of topological transformation groups. (English) Zbl 0429.57011

Hsiang, Wu Yi

Ergebnisse der Mathematik und ihrer Grenzgebiete. Band 85. Berlin-Heidelberg-New York: Springer-Verlag. X, 164 p. DM 68.00; $ 37.40 (1975).

MSC:

57Sxx	Topological transformation groups
57-02	Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
20G05	Representation theory for linear algebraic groups
55N25	Homology with local coefficients, equivariant cohomology
55R40	Homology of classifying spaces and characteristic classes in algebraic topology
55M35	Finite groups of transformations in algebraic topology (including Smith theory)

Keywords:

compact Lie transformation groups; actions of connected compact Lie groups of rank at least two; equivariant cohomology theory; localisation theorem; fixed point theorem; Borel formula for actions on Poincare duality spaces; local weights; algorithm for principal isotropy groups; rational cohomology manifold; actions on projective spaces; product of odd-dimensional spheres; Stiefel manifold; product of manifolds with vanishing first Pontrjagin class

Citations:

Zbl 0343.57022