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The Temperley-Lieb category in operator algebras and in link homology

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OAS - Operator algebras: subfactors and their applications

The Temperley-Lieb category appears in a fundamental way in both the study of subfactors and in link homology theories. Indeed, the discovery of the importance of the Temperley-Lieb category for subfactors led to the creation of the Jones polynomial, and thence, after a long gestation, Khovanov homology.

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