Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology
Slack, Michael
Fundamenta Mathematicae, Tome 159 (1999), p. 81-93 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:212382 
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     author = {Michael Slack},
     title = {Multiplicative operations in the Steenrod algebra for Brown--Peterson cohomology},
     journal = {Fundamenta Mathematicae},
     volume = {159},
     year = {1999},
     pages = {81-93},
     zbl = {0931.55002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv160i1p81bwm}
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Slack, Michael. Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology. Fundamenta Mathematicae, Tome 159 (1999) pp. 81-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv160i1p81bwm/

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