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The relation between open topological strings and representation theory ofsymmetric quivers is explored beyond the original setting of the knot-quivercorrespondence. Multiple cover generalizations of the skein relation forboundaries of holomorphic disks on a Lagrangian brane are observed to generatedual quiver descriptions of the geometry. Embedding into M-theory, a largeclass of dualities of 3d $\mathcal{N}=2$ theories associated to quivers isobtained. The multi-cover skein relation admits a compact formulation in termsof quantum torus algebras associated to the quiver and in this language therelations are similar to wall-crossing identities of Kontsevich and Soibelman.

Multi-cover skeins, quivers, and 3d $\mathcal{N}=2$ dualities