2000arXiv (Cornell University)Open access

The Kauffman bracket skein as an algebra of observables

Doug Bullock, Charles D. Frohman, Joanna Kania-Bartoszyńska

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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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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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Available 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.

Key concepts: Skein, Bracket polynomial, Bracket, Observable, Algebra over a field, Mathematics, Pure mathematics, Physics

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