On some formulas for the characteristic classes of group-actions. (Appendix by Robert Brooks). (English) Zbl 0393.57011

Bott, Raoul

Differ. Topol., Foliations, Gelfand-Fuks Cohomol.; Proc. Symp., Rio de Janeiro 1976, Lect. Notes Math. 652, 25-61 (1978).

MSC:

57R32	Classifying spaces for foliations; Gelfand-Fuks cohomology
55R35	Classifying spaces of groups and \(H\)-spaces in algebraic topology
55R40	Homology of classifying spaces and characteristic classes in algebraic topology
57R20	Characteristic classes and numbers in differential topology

Keywords:

Foliated Circle Bundles; Characteristic Classes of Foliations; Group Actions on a Manifold; Disk Link; Compatible Forms; Concordance; Foliated Simplicial Manifold; Foliation of Codimension Q.; Classifying Space; Discrete Group Acting By Diffeomorphisms on a Manifold; Lie Algebra; Godbillon-Vey Class; Cohomology; Groups on the Circle; Area of Geodesic Triangles

Citations:

Zbl 0149.208; Zbl 0367.00018; Zbl 0348.57006; Zbl 0348.57007