Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Monodromy of discrete Darboux transformations

Joseph Cho

created by raffero on 29 Sep 2021
modified on 05 Oct 2021

12 oct 2021 -- 17:00

Differential Geometry Seminar Torino (online)


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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