Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

Request Permissions   Purchase Content 
 

 

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


Authors: Francis Bonahon and Helen Wong
Journal: Proc. Amer. Math. Soc. 144 (2016), 2711-2724
MSC (2010): Primary 57M27, 57R56
DOI: https://doi.org/10.1090/proc/12927
Published electronically: November 30, 2015
MathSciNet review: 3477089
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 57M27, 57R56

Retrieve articles in all journals with MSC (2010): 57M27, 57R56


Additional 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

DOI: https://doi.org/10.1090/proc/12927
Received by editor(s): January 1, 2011
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
Article copyright: © Copyright 2015 American Mathematical Society