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Abstract: I will discuss progress on establishing Cherkis's Nahm transform for multicenter Taub NUT spaces. This transform gives a conjectured correspondence between instantons on ALF spaces and solutions of a system of nonlinear odes. Verifying the conjecture requires first refining our understanding of the asymptotic structure of instantons. This is joint work with Sergey Cherkis and Andres Larrain.
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Instantons on ALF spaces
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