Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology
Fundamenta Mathematicae, Tome 160 (1999) no. 1, pp. 81-93
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
A family of multiplicative operations in the BP Steenrod algebra is defined which is related to the total Steenrod power operation from the mod p Steenrod algebra. The main result of the paper links the BP versions of the total Steenrod power with the formal group approach to multiplicative BP operations by identifying the p-typical curves (power series) which correspond to these operations. Some relations are derived from this identification, and a short proof of the Hopf invariant one theorem is given as a sample computation.
@article{10_4064_fm_160_1_81_93,
author = {Michael Slack},
title = {Multiplicative operations in the {Steenrod} algebra for {Brown{\textendash}Peterson} cohomology},
journal = {Fundamenta Mathematicae},
pages = {81--93},
publisher = {mathdoc},
volume = {160},
number = {1},
year = {1999},
doi = {10.4064/fm-160-1-81-93},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-160-1-81-93/}
}
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Michael Slack. Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology. Fundamenta Mathematicae, Tome 160 (1999) no. 1, pp. 81-93. doi: 10.4064/fm-160-1-81-93
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