The purpose of our work is to find explicit formulae for the computation of some characteristic classes of smooth principal bundles P: P --> B, in terms of local invariants at a singular subset AG of B, associated to a smooth action of a compact Lie group G on P. This singular subset, AG, is defined as the set of points x in B whose isotropy subgroups Gx have dimension at least one.
@article{urn:eudml:doc:38273,
title = {Smooth toral actions on principal bundles and characteristic classes.},
journal = {Extracta Mathematicae},
volume = {2},
year = {1987},
pages = {108-110},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38273}
}
Alamo Antúnez, M.ª Nieves; Gómez Ruiz, Francisco. Smooth toral actions on principal bundles and characteristic classes.. Extracta Mathematicae, Tome 2 (1987) pp. 108-110. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38273/