Atiyah–Bott formula explained
In algebraic geometry, the Atiyah–Bott formula says the cohomology ring
| *(\operatorname{Bun} |
| \operatorname{H} | |
| G(X), |
Ql)
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.
References
- Atiyah. Michael F.. Michael Atiyah. Bott. Raoul. Raoul Bott. The Yang-Mills equations over Riemann surfaces. . Ser. A. 308 . 1983. 1505. 523–615. 0702806. 10.1098/rsta.1983.0017. 1983RSPTA.308..523A. 13601126.
