Monodromy of discrete Darboux transformations
Joseph Cho (TU Wien)
Abstract: 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.
differential geometry
Audience: researchers in the topic
Differential Geometry Seminar Torino
Series comments: This is a hybrid seminar organized by the Differential Geometry groups of Università and Politecnico di Torino.
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Organizers: | Alberto Raffero*, Michele Rimoldi, Debora Impera |
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