The Kauffman bracket skein as an algebra of observables

Authors:
Doug Bullock, Charles Frohman and Joanna Kania-Bartoszynska

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

Published electronically:
February 12, 2002

MathSciNet review:
1897475

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Abstract | References | Similar Articles | Additional Information

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

Email:
frohman@math.uiowa.edu

**Joanna Kania-Bartoszynska**

Affiliation:
Department of Mathematics, Boise State University, Boise, Idaho 83725

Email:
kania@math.boisestate.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06323-2

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

Article copyright:
© Copyright 2002
by the authors