MONODROMY OF DISCRETE DARBOUX TRANSFORMATIONS - JOSEPH CHO (TU WIEN)

The monodromy of Darboux transformations of smooth isothermic surfaces can be simplified via the gauge theoretic approach. In pursuit of the discrete analogue, we consider the discrete curve case. In particular, using a quaternionic approach, we not only solve the monodromy of discrete Darboux transformations, but also obtain explicit parametrisations for closed discrete Darboux transformations of a discrete circle.

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