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Difference equation for the Gromov-Witten potential of the resolved conifold

Published 25 Nov 2020 in math.AG, hep-th, math-ph, and math.MP | (2011.12759v2)

Abstract: A difference equation is proved for the Gromov-Witten potential of the resolved conifold. Using the Gopakumar-Vafa resummation of the Gromov-Witten invariants of any Calabi-Yau threefold, it is further shown that similar difference equations are satisfied by the part of the resummed potential containing the contribution of the genus zero GV invariants.

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