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Skein-valued mirror curves for toric CY3 strips

Published 8 Dec 2025 in math.SG | (2512.07762v1)

Abstract: For a smooth semi-projective toric Calabi-Yau 3-fold containing no compact surface, we show the count of all-genus holomorphic curves with boundary on a single Aganagic-Vafa brane is annihilated by a skein-valued quantization of the mirror curve, and that this determines the count. We give explicit expressions for the equation and its solution.

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Authors (2)

  1. Mingyuan Hu 
  2. Vivek Shende 

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