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Knots and physics. (English) Zbl 0749.57002
In this expository work, the author traces the construction of the bracket model of the Jones polynomial, and explains how this model can be naturally interpreted as a vacuum-vacuum expectation in a combinatorial version of physical theory. He also explains how the quantum group for $$SL(2)$$ and solutions to the Yang-Baxter equation arise from this point of view.
Reviewer: M.Sakuma (Osaka)

##### MSC:
 57M25 Knots and links in the $$3$$-sphere (MSC2010) 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 82B23 Exactly solvable models; Bethe ansatz