• Corpus ID: 231709494

Geometry and arithmetic of integrable hierarchies of KdV type. I. Integrality

  title={Geometry and arithmetic of integrable hierarchies of KdV type. I. Integrality},
  author={Boris Dubrovin and Di Yang and Don Zagier},
For each of the simple Lie algebras g = Al, Dl or E6, we show that the all-genera one-point FJRW invariants of g-type, after multiplication by suitable products of Pochhammer symbols, are the coefficients of an algebraic generating function and hence are integral. Moreover, we find that the all-genera invariants themselves coincide with the coefficients of the unique calibration of the Frobenius manifold of g-type evaluated at a special point. For the A4 (5-spin) case we also find two other… 
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