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

Algebraic Geometry 2021-12-30 v2 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2011.12759,
  title  = {Difference equation for the Gromov-Witten potential of the resolved conifold},
  author = {Murad Alim},
  journal= {arXiv preprint arXiv:2011.12759},
  year   = {2021}
}

Comments

5 pages, typos fixed and references added