Holomorphic curve counts in C3 with toric Lagrangian boundary obey skein operator equations whose unique solution is the topological vertex.
Quantum mirrors of cubic planar graph Legendrians
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abstract
For a certain class of Legendrian surfaces in the five-sphere, associated to cubic planar graphs, we show that the all-genus skein-valued holomorphic curve invariants of any filling are annihilated by certain explicit skein-valued operator equations.
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The skein valued mirror of the topological vertex
Holomorphic curve counts in C3 with toric Lagrangian boundary obey skein operator equations whose unique solution is the topological vertex.