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The Temperley-Lieb categories and skein modules

2014/12/14 by Joshua Chen, Chen, Joshua
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1502.06845

Bachelors thesis, many diagrams

arxiv created 2014/12/14 · arxiv updated 2015/02/25

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.

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