Atiyah–Bott formula

Template:Short description Template:Otheruse In algebraic geometry, the Atiyah–Bott formula says the cohomology ring

${\mathrm{H}}^{*}({\mathrm{Bun}}_G(X),{\mathbb{Q}}_l)$

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 ${\mathrm{Bun}}_G(X)$.

See also

• Borel's theorem, which says that the cohomology ring of a classifying stack is a polynomial ring.

References

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