Stable vector bundles and instantons

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Methods of abstract algebraic geometry are used to study rank 2 stable vector bundles on ℙ3. These bundles are then used to give self-dual solutions, called instantons, of the Yang-Mills equation onS 4.

This article reproduces two lectures I gave in I. M. Singer's seminar on gauge theories, at Berkeley in June 1977. Full details will appear elsewhere [6]
Partially supported by NSF grant NSF MCS 76-03423, A02
Communicated by J. Glimm