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4. Categorification

This section contains questions related to the categorification of different quantum invariants

    1. Categorification of Kauffman Bracket Skein Module


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      Problem 4.1.

      Categorify Kauffman Bracket Skein Module of Lens space L(p,1)
        1. Remark. L(2,1) done by Gabrov$\check{s}$ek

            • Categorification of CJP


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              Problem 4.2.

              Categorify Colored Jones Polynomial to study the volume conjecture.
                1. Remark. Reference: Cooper-Krushkal, Rozansky


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                      Problem 4.3.

                      Lift the recursion relation of the colored Jones Polynomial to categorified CJP.

                          Cite this as: AimPL: Quantum invariants and low-dimensional topology, available at http://aimpl.org/quantumlowdimtop.