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In page Complex-oriented cohomology theory:

"

In algebraic topology, a complex-orientable cohomology theory is a multiplicative cohomology theory E such that the restriction map $E^{2} (ℂ 𝐏^{\infty}) \to E^{2} (ℂ 𝐏^{1})$ is surjective. An element of $E^{2} (ℂ 𝐏^{\infty})$ that restricts to the canonical generator of the reduced theory ${\tilde{E}}^{2} (ℂ 𝐏^{1})$ is called a complex orientation. The notion is central to Quillen's work relating cohomology to formal group laws.^{[citation needed]}

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