Steenrod squares on conjugation spaces

Details Steenrod squares on conjugation spaces Steenrod squares on conjugation spaces

2005-10-07

arxiv.org/abs/math/0510157v1

C. R. Acad. Sci. Paris, Ser. I 342 (2006), 187-190

Mathematics

Algebraic Topology

4 pages

Scientific paper

10.1016/j.crma.2005.12.012

We prove that the coefficients of the so-called conjugation equation for conjugation spaces in the sense of Hausmann-Holm-Puppe are completely determined by Steenrod squares. This generalises a result of V.A. Krasnov for certain complex algebraic varieties. It also leads to a generalisation of a formula given by Borel and Haefliger, thereby largely answering an old question of theirs in the affirmative.

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