Mapping Class Group Representations and Generalized Verlinde Formula

P. Bantay; P. Vecsernyes

doi:10.1142/S0217751X99000683

Mapping Class Group Representations and Generalized Verlinde Formula

High Energy Physics - Theory 2009-10-28 v2

Authors: P. Bantay , P. Vecsernyes

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Abstract

Unitary representations of centrally extended mapping class groups $\tilde M_{g,1}, g\geq 1$ 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.

Keywords

hopf algebras positive maps in quantum information lie algebras and representations

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@article{arxiv.hep-th/9506186,
  title  = {Mapping Class Group Representations and Generalized Verlinde Formula},
  author = {P. Bantay and P. Vecsernyes},
  journal= {arXiv preprint arXiv:hep-th/9506186},
  year   = {2009}
}

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10 pages, PlainTex, 1 figure appended

Mapping Class Group Representations and Generalized Verlinde Formula

Abstract

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