A Weil-pairing refinement of the DDR cycle is introduced and proved to satisfy a multiple-cover formula, yielding refined log-GW invariants of toric surfaces that also satisfy the formula.
MAULIK ANDD
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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.
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A correlated refinement of the double double ramification cycle
A Weil-pairing refinement of the DDR cycle is introduced and proved to satisfy a multiple-cover formula, yielding refined log-GW invariants of toric surfaces that also satisfy the formula.
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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.