Complex-oriented cohomology theory

In algebraic topology, a complex-orientable cohomology theory is a multiplicative cohomology theory E such that the restriction map is surjective. An element of that restricts to the canonical generator of the reduced theory is called a complex orientation. The notion is central to Quillen's work relating cohomology to formal group laws. If E is an even-graded theory meaning , then E is complex-orientable. This follows from the Atiyah–Hirzebruch spectral sequence. Examples: A complex orientation, call it t, gives rise to a formal group law as follows: let m be the multiplication ,

Complex-oriented cohomology theory

In algebraic topology, a complex-orientable cohomology theory is a multiplicative cohomology theory E such that the restriction map is surjective. An element of that restricts to the canonical generator of the reduced theory is called a complex orientation. The notion is central to Quillen's work relating cohomology to formal group laws. If E is an even-graded theory meaning , then E is complex-orientable. This follows from the Atiyah–Hirzebruch spectral sequence. Examples: A complex orientation, call it t, gives rise to a formal group law as follows: let m be the multiplication ,