Atiyah–Bott formula

For other uses, see Atiyah–Bott fixed-point theorem.

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.