The Temperley-Lieb categories and skein modules

Abstract

We develop the theory of diagrammatic Temperley-Lieb categories in order to construct examples of spherical fusion categories, which we then use to construct Turaev-Viro skein modules for n-holed disks. This is a thesis submitted for the degree of Bachelor of Science with Honours at the Australian National University.

Bachelors thesis, many diagrams

References in corpus (2)

• The half-twist for U_q(g) representations
• A minus sign that used to annoy me but now I know why it is there

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