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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Kauffman bracket skein as an algebra of observables
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by Doug Bullock, Charles Frohman and Joanna Kania-Bartoszyńska PDF
Proc. Amer. Math. Soc. 130 (2002), 2479-2485

Abstract:

We prove that the Kauffman bracket skein algebra of a cylinder over a surface with boundary, defined over complex numbers, is isomorphic to the observables of an appropriate lattice gauge field theory.
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Additional Information
  • Doug Bullock
  • Affiliation: Department of Mathematics, Boise State University, Boise, Idaho 83725
  • Email: bullock@math.boisestate.edu
  • Charles Frohman
  • Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
  • MR Author ID: 234056
  • ORCID: 0000-0003-0202-5351
  • Email: frohman@math.uiowa.edu
  • Joanna Kania-Bartoszyńska
  • Affiliation: Department of Mathematics, Boise State University, Boise, Idaho 83725
  • MR Author ID: 239347
  • Email: kania@math.boisestate.edu
  • Received by editor(s): November 6, 2000
  • Received by editor(s) in revised form: March 16, 2001
  • Published electronically: February 12, 2002
  • Additional Notes: This research was partially supported by an NSF-DMS Postdoctoral Research Fellowship, and by NSF grants DMS-9803233 and DMS-9971905.
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2002 by the authors
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 2479-2485
  • MSC (2000): Primary 57M27, 81T13
  • DOI: https://doi.org/10.1090/S0002-9939-02-06323-2
  • MathSciNet review: 1897475