Atiyah and Bott: Yang-Mills equations over Riemann surfaces

What changed

Analyzed the Yang-Mills functional on Riemann surfaces through equivariant Morse theory and extracted moduli-space topology.

Scientific scope

The record is the exact two-author paper received in 1982 and published in 1983. Its results concern the stated surface, bundle and gauge-theoretic setting; Donaldson four-manifold theory, later symplectic reductions and other gauge theories remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact two-author paper received in 1982 and published in 1983. Its results concern the stated surface, bundle and gauge-theoretic setting; Donaldson four-manifold theory, later symplectic reductions and other gauge theories remain separate.

Contributors

• Michael Francis Atiyah · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.
• Raoul Bott · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Royal Society DOI page for Atiyah-Bott paper
• ETH-hosted copy of Atiyah-Bott paper

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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