Atiyah–Bott formula
In algebraic geometry, the Atiyah–Bott formula says[1] the cohomology ring
of the moduli stack of principal bundles is a free graded-commutative algebra on certain homogeneous generators. Atiyah and Bott's original work concerned integral cohomology ring of BunG(X).
See also
- Borel's theorem, which says the cohomology ring of a classifying stack is a polynomial ring.
Notes
- ↑ Gaitsgory–Lurie, § 6.2.
References
- Atiyah, M. F. and R. Bott.; "The Yang-Mills equations over Riemann surfaces." Philos. Trans. Roy. Soc. London Ser. A 308 (1983), no. 1505.
- Gaitsgory, D; Lurie, J.; "Weil's Conjecture for Function Fields." 2014,
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