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Skein recursion for holomorphic curves and invariants of the unknot

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 نشر من قبل Vivek Shende
 تاريخ النشر 2020
  مجال البحث
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We determine the skein-valued Gromov-Witten partition function for a single toric Lagrangian brane in $mathbb{C}^3$ or the resolved conifold. We first show geometrically they must satisfy a certain skein-theoretic recursion, and then solve this equation. The recursion is a skein-valued quantization of the equation of the mirror curve. The solution is the expected hook-content formula.



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