probably this relation deserves to be furthermore cross-linked with algebraic cobordism, too, but I won’t do this for the moment
]]>added this pointer on relation of divisors to complex cobordism cohomology:
Burt Totaro, Torsion algebraic cycles and complex cobordism, J. Amer. Math. Soc. 10 (1997), 467-493 (doi:10.1090/S0894-0347-97-00232-4)