Topological recursion for the conifold transition of a torus knot

• Bohan Fang ^[1] ; Zhengyu Zong ^[2]
  1. [1] Peking University

     Peking University

     China

     
  2. [2] Tsinghua University

     Tsinghua University

     China

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 25, Nº. 3, 2019
• Idioma: inglés
• DOI: 10.1007/s00029-019-0483-x
• Enlaces
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• Resumen

  • In this paper we prove a mirror symmetry conjecture based on the work of Brini et al. (Ann Henri Poincaŕe 13(8):1873–1910, 2012) and Diaconescu et al. (Commun Math Phys 319(3):813–863, 2013). This conjecture relates open Gromov–Witten invariants of the conifold transition of a torus knot to the topological recursion on the B-model spectral curve.