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arxiv: math-ph/0312059 · v2 · submitted 2003-12-23 · 🧮 math-ph · math.DG· math.MP

Finite gap theory of the Clifford torus

classification 🧮 math-ph math.DGmath.MP
keywords baker--akhiezercliffordconstructingdiracfunctionspectraltorusconstruct
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We construct the spectral curve and the Baker--Akhiezer function for the Dirac operator which corresponds to the Clifford torus via the Weierstrass representation. By constructing this Baker--Akhiezer function we demonstrate a general procedure for constructing Dirac operators and their Baker--Akhiezer functions corresponding to singular spectral curves

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