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Geometry of the triangle equation on two-manifolds

I. A. Dynnikov·S. P. Novikov
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Abstract

A non-traditional approach to the discretization of differential-geometrical connections was suggested by the authors in 1997. At the same time we started studying first order difference ``black and white triangle operators (equations)'' on triangulated surfaces with a black and white coloring or triangles. In this work, we develop the theory of these operators and equations, showing their similarity with complex derivatives.

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I. A. Dynnikov, S. P. Novikov. 2002-10-09. Geometry of the triangle equation on two-manifolds. https://doi.org/10.17323/1609-4514-2003-3-2-419-438

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