Abstract
Algebras of Steenrod operations in oriented and special unitary cobordisms are constructed. The representing spectra of SO- and SU-cobordisms are studied. It is shown that on the corresponding spectra, there exists the structure of a multiplicative family over a suitable bioperad. The connection with Steenrod operations proposed by T. tom Dieck is established.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 19, Topology and Noncommutative Geometry, 2004.
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Popelenskii, F.Y. On Steenrod Operations in Oriented and Special Unitary Cobordism Theories. J Math Sci 134, 1983–2001 (2006). https://doi.org/10.1007/s10958-006-0093-y
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DOI: https://doi.org/10.1007/s10958-006-0093-y