Geodesic
The Moutard Transformation of Two-Dimensional Dirac Operators and M\"obius Geometry
Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 129-141.

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We describe the action of inversion on given Weierstrass representations for surfaces and show that the Moutard transformation of two-dimensional Dirac operators maps the potential (the Weierstrass representation) of a surface $S$ to the potential of a surface $\widetilde{S}$ obtained from $S$ by inversion.
Mots-clés : Moutard transformation, inversion, conformal immersion of a domain.
Keywords: two-dimensional Dirac operator, Möbius geometry, Weierstrass representation for surfaces 
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I. A. Taimanov. The Moutard Transformation of Two-Dimensional Dirac Operators and M\"obius Geometry. Matematičeskie zametki, Tome 97 (2015) no. 1, pp. 129-141. http://geodesic.mathdoc.fr/item/MZM_2015_97_1_a12/

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