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arXiv · 1711.03333

Rational links and DT invariants of quivers

Marko Stosic·Paul Wedrich
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Abstract

We prove that the generating functions for the colored HOMFLY-PT polynomials of rational links are specializations of the generating functions of the motivic Donaldson-Thomas invariants of appropriate quivers that we naturally associate with these links. This shows that the conjectural links-quivers correspondence of Kucharski-Reineke-Sto\v{s}i\'c-Su{\l}kowski as well as the LMOV conjecture hold for rational links. Along the way, we extend the links-quivers correspondence to tangles and, thus, explore elements of a skein theory for motivic Donaldson-Thomas invariants.

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Marko Stosic, Paul Wedrich. 2017-11-09. Rational links and DT invariants of quivers. https://doi.org/10.1093/imrn%2Frny289

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