TY - EJOUR
AB - Let 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.
T1 - Conjugation spaces and equivariant Chern classes
IS - 1
DA - 2013
AU - Pitsch, Wolfgang
AU - Scherer, Jerome
JF - Bulletin Of The Belgian Mathematical Society-Simon Stevin
SP - 77-90
VL - 20
EP - 77-90
PB - Belgian Mathematical Soc Triomphe
PP - Brussels
ID - 190929
KW - Conjugation spaces
KW - characteristic classes
KW - equivariant Chem classes
SN - 1370-1444
ER -