Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology

• Autorzy: Michael Slack
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55S25: K -theory operations and generalized cohomology operations
• 55N20: Generalized (extraordinary) homology and cohomology theories
• 55N22: Bordism and cobordism theories, formal group laws

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 160
• Numer: 1
• Strony: 81-93

Daty

wydano

1999

otrzymano

1998-07-20

poprawiono

1998-10-27

Twórcy

autor

Michael Slack

• Department of Mathematics and Statistics, Western Michigan University, Kalamazoo, Michigan 49008-5152, U.S.A.

Bibliografia

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