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arxiv: math/9909069 · v3 · submitted 1999-09-14 · 🧮 math.DG · math-ph· math.MP

Construction of doubly-periodic instantons

classification 🧮 math.DG math-phmath.MP
keywords analoguecertainconnectionconstructconstructiondefineddirectionsdoubly-periodic
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We construct finite energy instanton connection on $R^4$ which are periodic in two directions via an analogue of the Nahm transform for certain singular solutions of Hitchin's equations defined over a 2-torus.

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