Mapping Class Group Representations and Generalized Verlinde Formula
P. Bantay, P. Vecsernyes
Abstract
Unitary representations of centrally extended mapping class groups Mg,1, g≥ 1 are given in terms of a rational Hopf algebra H, and a related generalization of the Verlinde formula is presented. Formulae expressing the traces of mapping class group elements in terms of the fusion rules, quantum dimensions and statistics phases are proposed.
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