190929
20181203023333.0
1370-1444
ISI
000325592000006
ARTICLE
Conjugation spaces and equivariant Chern classes
2013
Brussels
Belgian Mathematical Soc Triomphe
2013
14
Journal Articles
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.
Conjugation spaces
characteristic classes
equivariant Chem classes
Pitsch, Wolfgang
Univ Autonoma Barcelona, Dept Matemat, E-08193 Bellaterra, Spain
Scherer, Jerome
20
1
77-90
Bulletin Of The Belgian Mathematical Society-Simon Stevin
252139
UPHESS
U10968
oai:infoscience.tind.io:190929
SV
article
105396
EPFL-ARTICLE-190929
EPFL
REVIEWED
PUBLISHED
ARTICLE