A new diagrammatic 2-category models induction and restriction on Temperley-Lieb modules, with a basis theorem implying an equivalence after Karoubi completion and a positive basis from homogenized Chebyshev polynomials.
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Constructs doubly- and triply-graded Penrose-type homologies for ribbon graphs via TQFT cube of resolutions whose Euler characteristics recover Penrose polynomial specializations.
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A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules
A new diagrammatic 2-category models induction and restriction on Temperley-Lieb modules, with a basis theorem implying an equivalence after Karoubi completion and a positive basis from homogenized Chebyshev polynomials.