Speaker
Description
I talk about joint work with Helge Ruddat, Eric Zaslow and Benjamin Zhou interpreting the q-refined theta function of a log Calabi-Yau surface as a natural q-refinement of the open mirror map, defined by quantum periods of mirror curves for outer Aganagic-Vafa branes on the local Calabi-Yau threefold. The series coefficients are all-genus logarithmic two-point invariants, directly extending the relation found by the first three authors. The main part of the proof is combinatorial in nature, using a convolution relation for Bell polynomials, and thus works in any dimension. We find an explicit discrepancy at higher genus in the relation to open Gromov-Witten invariants of the Aganagic-Vafa brane, expressible in terms of relative invariants of an elliptic curve.
