In this paper, we investigate the space of harmonic maps from a 2‐torus to S3 using the spectral curve correspondence and Whitham deformations. In an open and dense subset of a parameter space, we find that the space of harmonic maps is smooth and has dimension 2. We also show that the points that correspond to minimal tori (conformal harmonic maps) are either smooth points of dimension 2 or singular.
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