In algebraic geometry, the Atiyah–Bott formula says the cohomology ring H ∗ ( Bun G ( X ) , Q l ) {\displaystyle \operatorname {H} ^{*}(\operatorname {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 Bun G ( X ) {\displaystyle \operatorname {Bun} _{G}(X)} .
In algebraic geometry, the Atiyah–Bott formula says the cohomology ring H ∗ ( Bun G ( X ) , Q l ) {\displaystyle \operatorname {H} ^{*}(\operatorname {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 Bun G ( X ) {\displaystyle \operatorname {Bun} _{G}(X)} .
Source: Wikipedia "Atiyah–Bott formula" · CC BY-SA 4.0
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