Mapping Class Group Representations and Generalized Verlinde Formula

Abstract

Unitary representations of centrally extended mapping class groups ${\tilde{M}}_{g,1},g\ge 1$ 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.

10 pages, PlainTex, 1 figure appended

References in corpus (2)

• Mapping Class Group Actions on Quantum Doubles
• On the Quantum Symmetry of the Chiral Ising Model

Cited by in corpus (4)

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