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

Bonahon, Francis; Wong, Helen

doi:10.1090/proc/12927

The Witten-Reshetikhin-Turaev representation of the Kauffman bracket skein algebra
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by Francis Bonahon and Helen Wong

Proc. Amer. Math. Soc. 144 (2016), 2711-2724

DOI: https://doi.org/10.1090/proc/12927

Published electronically: November 30, 2015

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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 bracket skein algebra of a closed surface. We show that this representation is irreducible, and we compute its classical shadow in the sense of an earlier work of the authors.

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