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This paper presents a commutative complex oriented cohomology theory withcoefficients the quotient ring of complex cobordism MU$^*[1/2]$ modulo theideal generated by any subsequence of any polynomial generators in specialunitary cobordism MSU$^*[1/2]$ viewed as elements in MU$^*[1/2]$ by forgetfulmap.

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

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