ISI:000325592000006
Pitsch, Wolfgang
Scherer, Jerome
Conjugation spaces and equivariant Chern classes
Brussels, Belgian Mathematical Soc Triomphe
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.
2013-12-09T07:45:26Z
http://infoscience.epfl.ch/record/190929
http://infoscience.epfl.ch/record/190929
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