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The Temperley-Lieb categories and skein modules

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arxiv 1502.06845 v1 pith:GCQIDF2U submitted 2014-12-14 math.QA

Joshua Chen This is my paper · ORCID
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keywords categoriesconstructmodulesskeintemperley-liebaustralianbachelordegree
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stability conditions and Artin--Tits groups

    math.RT 2024-12 conditional novelty 7.0 of 10

    For any Coxeter system, the fusion-equivariant Bridgeland stability manifold of a newly constructed 2-Calabi-Yau category is a covering space of a hyperplane complement whose quotient fundamental group is the Artin-Ti...

  2. Diagrammatic Categories which arise from Representation Graphs

    math.CT 2025-02 reject novelty 6.0 of 10

    A construction of diagrammatic categories from McKay quivers is presented, with a conditional equivalence theorem to the monoidal category of irreducible G-modules that rests on an unproven path-basis assumption.

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