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This paper presents a commutative complex-oriented cohomology theory thatrealizes the Buchstaber formal group law localized away from 2. Also, therestriction of the classifying map of FB on special unitary cobordism ringlocalized away from 2 defines a four parameter genus, studied by Hoehn andTotaro.

Polynomial generators of msu*[1/2] related to classifying maps of certain formal group laws