Pitsch, WolfgangScherer, Jerome2013-12-092013-12-092013-12-09201310.36045/bbms/1366306715https://infoscience.epfl.ch/handle/20.500.14299/97551WOS:000325592000006Let eta be a Real bundle, in the sense of Atiyah, over a space X. This is a complex vector bundle together with an involution which is compatible with complex conjugation. We use the fact that BU has a canonical structure of a conjugation space, as defined by Hausmann, Holm, and Puppe, to construct equivariant Chem classes in certain equivariant cohomology groups of X with twisted integer coefficients. We show that these classes determine the (non-equivariant) Chern classes of eta, forgetting the involution on X, and the Stiefel-Whitney classes of the real bundle of fixed points.Conjugation spacescharacteristic classesequivariant Chem classestext::journal::journal article::research article