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Atiyah and Bott: Yang-Mills equations over Riemann surfaces

Studied the Yang-Mills functional over a Riemann surface by equivariant Morse theory and derived topological information about critical sets and moduli of bundles.

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Studied the Yang-Mills functional over a Riemann surface by equivariant Morse theory and derived topological information about critical sets and moduli of bundles.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

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.

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People and systems

Michael Francis Atiyah; Raoul Bott

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Research locations and affiliations

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Documented countries / regions: United Kingdom, United States

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English catalogue narrative

Atiyah and Bott: Yang-Mills equations over Riemann surfaces

Studied the Yang-Mills functional over a Riemann surface by equivariant Morse theory and derived topological information about critical sets and moduli of bundles.

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.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Michael Francis Atiyah; Raoul Bott

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources