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Spectral curves and Nahm transform for doubly-periodic instantons

Marcos Jardim
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Abstract

We explore the role played by the spectral curves associated with Higgs pairs in the context of the Nahm transform of doubly-periodic instantons defined in "Construction of doubly-periodic instantons" (math.DG/9909069) and "Nahm transform for doubly-periodic instantons" (math.DG/9910120). More precisely, we show how to construct a triple consisting of an algebraic curve plus a line bundle with connection over it from a doubly-periodic instanton, and that these coincide with the Hitchin's spectral data associated with the Nahm transformed Higgs bundle.

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Marcos Jardim. 2001-03-06. Spectral curves and Nahm transform for doubly-periodic instantons. https://doi.org/10.1007/s002200100596

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