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.References
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Bibliographic Information
- Francis Bonahon
- Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089-2532
- Email: fbonahon@math.usc.edu
- Helen Wong
- Affiliation: Department of Mathematics, Carleton College, Northfield, Minnesota 55057
- Email: hwong@carleton.edu
- Received by editor(s): January 1, 1100
- Received by editor(s) in revised form: July 17, 2015, and January 1, 2015
- Published electronically: November 30, 2015
- Additional Notes: This research was partially supported by grants DMS-0604866, DMS-1105402 and DMS-1105692 from the National Science Foundation, and by a mentoring grant from the Association for Women in Mathematics.
- Communicated by: Martin Scharlemann
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2711-2724
- MSC (2010): Primary 57M27, 57R56
- DOI: https://doi.org/10.1090/proc/12927
- MathSciNet review: 3477089