The Witten-Reshetikhin-Turaev representation of the Kauffman skein algebra

Francis Bonahon; Helen Wong

doi:10.1090/proc/12927

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arXiv · 1309.0921

The Witten-Reshetikhin-Turaev representation of the Kauffman skein algebra

Francis Bonahon·Helen Wong

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Abstract

For A a primitive 2N-root of unity with N odd, the Witten-Reshetikhin-Turaev topological quantum field theory provides a representation of the Kauffman skein algebra of a closed surface. We show that this representation is irreducible and we compute its classical shadow, in the sense of earlier work of the authors (arXiv:1206.1638).

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BibTeX RIS

Francis Bonahon, Helen Wong. 2013-09-04. The Witten-Reshetikhin-Turaev representation of the Kauffman skein algebra. https://doi.org/10.1090/proc%2F12927

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