A state sum model is given for U_q(gl_{N|M}) quantum link invariants, and a renormalized invariant in the non-semisimple case is shown to agree with normalized colored Jones polynomials at roots of unity.
A quantum categorification of the Alexander polynomial
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abstract
Using a modified foam evaluation, we give a categorification of the Alexander polynomial of a knot. We also give a purely algebraic version of this knot homology which makes it appear as the infinite page of a spectral sequence starting at the reduced triply graded link homology of Khovanov--Rozansky.
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State sums for some super quantum link invariants
A state sum model is given for U_q(gl_{N|M}) quantum link invariants, and a renormalized invariant in the non-semisimple case is shown to agree with normalized colored Jones polynomials at roots of unity.