Finite gap theory of the Clifford torus

2003/12/31 by I. A. Taimanov
Physics and Astronomy · Mathematics · #math-ph #math.DG #math.MP

paper · pdf

published as International Mathematics Research Notices (2005), 103--120 · 19 pages

arxiv created 2004/01/07 · arxiv updated 2009/12/01

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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