Complex cobordism MU*[1/2] modulo MSU*[1/2] and related genera

Abstract

This paper presents a commutative complex oriented cohomology theory with coefficients the quotient ring of complex cobordism MU*[1/2] modulo the ideal generated by any subsequence of any polynomial generators in special unitary cobordism MSU*[1/2] viewed as elements in MU*[1/2] by forgetful map.

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