Torus structure on graphs and twisted partition functions for minimal and affine models

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Using the Ocneanu quantum geometry of ADE diagrams (and of other diagrams belonging to higher Coxeter-Dynkin systems), we discuss the classification of twisted partition functions for affine and minimal models in conformal field theory and study several examples associated with the WZW, Virasoro and W_{3} cases.
50 pages, 8 figures,added references, corrected typos

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