Discrete surfaces of constant mean curvature via dressing

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We translate a classification scheme for periodic CMC surfaces developed by J. Dorfmeister and the author to discrete CMC surfaces in the sense of A. Bobenko and U. Pinkall. The scheme uses the dressing action on discrete CMC surfaces to arrive at a classification for periodic discrete CMC surfaces.
30 pages, LaTeX+amslatex+amsfonts packages, no figures

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