A formula for structure constants of Bousseau's quantization of the mirror algebra for log Calabi-Yau surfaces (Y,D) in terms of higher genus descendant log GW invariants, generalizing the weak Frobenius structure conjecture to the q-refined setting via quantum broken lines.
RANGANATHAN,Logarithmic Gromov-Witten theory with expansions, Algebr
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Refined curve counting with descendants and quantum mirrors
A formula for structure constants of Bousseau's quantization of the mirror algebra for log Calabi-Yau surfaces (Y,D) in terms of higher genus descendant log GW invariants, generalizing the weak Frobenius structure conjecture to the q-refined setting via quantum broken lines.