Finite-gap theory of the Clifford torus

Taimanov, Iskander A.

doi:10.1155/IMRN.2005.103

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Finite-gap theory of the Clifford torus

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Abstract

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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Finite-gap theory of the Clifford torus

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