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Quantum mirrors of cubic planar graph Legendrians

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arxiv 2304.01872 v2 pith:UVXYMV63 submitted 2023-04-04 math.SG

Matthias Scharitzer , Vivek Shende This is my paper · ORCID
classification math.SG
keywords certaincubicplanarskein-valuedall-genusannihilatedassociatedclass
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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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  1. The skein valued mirror of the topological vertex

    math.SG 2024-12 conditional novelty 8.0 of 10

    Holomorphic curve counts in C3 with toric Lagrangian boundary obey skein operator equations whose unique solution is the topological vertex.

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