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Finite gap theory of the Clifford torus

Mathematical Physics 2007-05-23 v2 Differential Geometry math.MP

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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Cite

@article{arxiv.math-ph/0312059,
  title  = {Finite gap theory of the Clifford torus},
  author = {I. A. Taimanov},
  journal= {arXiv preprint arXiv:math-ph/0312059},
  year   = {2007}
}

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19 pages