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arxiv: 1209.2732 · v1 · pith:34FNJIQRnew · submitted 2012-09-12 · 🧮 math.QA · math.GT

Morphisms between categorified spin networks

classification 🧮 math.QA math.GT
keywords categorifiednetworksspincalculuscoloredcompositionscomputingcooper
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We introduce a graphical calculus for computing morphism spaces between the categorified spin networks of Cooper and Krushkal. The calculus, phrased in terms of planar compositions of categorified Jones-Wenzl projectors and their duals, is then used to study the module structure of spin networks over the colored unknots.

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