• Corpus ID: 239016642

$K_2$ and quantum curves

  title={\$K\_2\$ and quantum curves},
  author={Charles F. Doran and Matt Kerr and Soumya Sinha Babu},
A 2015 conjecture of Codesido-Grassi-Mariño in topological string theory relates the enumerative invariants of toric CY 3-folds to the spectra of operators attached to their mirror curves. We deduce two consequences of this conjecture for the integral regulators of K2-classes on these curves, and then prove both of them; the results thus give evidence for the CGM conjecture. (While the conjecture and the deduction process both entail forms of local mirror symmetry, the consequences/theorems do… 

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