The multivariable Conway function is generalized to oriented framed trivalent graphs equipped with additional structure (coloring). This is done via refinements of Reshetikhin-Turaev functors based on irreducible representations of quantized gl(1|1) and sl(2). The corresponding face state sum models for the generalized Conway function are presented.
On the Characterization Problem of Alexander Polynomials of Closed 3-Manifolds
A topological interpretation of Viro's $gl(1\vert 1)$-Alexander polynomial of a graph
A quantum categorification of the Alexander polynomial
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