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

Murad Alim

doi:10.48550/arXiv.2011.12759

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

Murad Alim

Research output: Working paper › Preprint

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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.

Original language	English
Publisher	arXiv
DOIs	https://doi.org/10.48550/arXiv.2011.12759
Publication status	Published - 25 Nov 2020

Keywords

math.AG
hep-th
math-ph
math.MP

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

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