In algebraic geometry, the Atiyah–Bott formula says the cohomology ring
of the moduli stack of principal bundles is a free graded-commutative algebra on certain homogeneous generators. The original work of Michael Atiyah and Raoul Bott concerned the integral cohomology ring of .
See also Borel's theorem, which says that the cohomology ring of a classifying stack is a polynomial ring.
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