Coefficient ring of complex cobordism ($M{U}^{\ast }(\mathrm{pt})\cong \mathbb{Z}[b_1,b_2,\dots ],|b_i|=-2i$)

The Milnor-Novikov coefficient theorem identifies the coefficient ring of complex cobordism as the displayed graded polynomial ring. In cohomological grading it has no positive-degree or odd-degree coefficients. Homological grading reverses the signs: $M{U}_{\ast }$ has polynomial generators in degrees $2i$.