Английская Википедия:Atiyah–Bott formula

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Шаблон:Short description Шаблон:Otheruse In algebraic geometry, the Atiyah–Bott formula says[1] the cohomology ring

<math>\operatorname{H}^*(\operatorname{Bun}_G(X), \mathbb{Q}_l)</math>

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 <math>\operatorname{Bun}_G(X)</math>.

See also

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

Notes

Шаблон:Reflist

References

Шаблон:Topology-stub