# Revisiting the Melvin-Morton-Rozansky Expansion, or There and Back Again

@article{Banerjee2020RevisitingTM, title={Revisiting the Melvin-Morton-Rozansky Expansion, or There and Back Again}, author={Sibasish Banerjee and J. Jankowski and P. Sulkowski}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

Alexander polynomial arises in the leading term of a semi-classical Melvin-Morton-Rozansky expansion of colored knot polynomials. In this work, following the opposite direction, we propose how to reconstruct colored HOMFLY-PT polynomials, superpolynomials, and newly introduced $\widehat{Z}$ invariants for some knot complements, from an appropriate rewriting, quantization and deformation of Alexander polynomial. Along this route we rederive conjectural expressions for the above mentionedâ€¦Â Expand

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