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arXiv · 2203.16812

On Equivariant Gromov--Witten Invariants of Resolved Conifold with Diagonal and Anti-Diagonal Actions

Si-Qi Liu·Di Yang·Youjin Zhang·Chunhui Zhou
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Abstract

We propose two conjectural relationships between the equivariant Gromov-Witten invariants of the resolved conifold under diagonal and anti-diagonal actions and the Gromov-Witten invariants of $\mathbb{P}^1$, and verify their validity in genus zero approximation. We also provide evidences to support the validity of these relationships in genus one and genus two.

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Si-Qi Liu, Di Yang, Youjin Zhang, Chunhui Zhou. 2022-03-31. On Equivariant Gromov--Witten Invariants of Resolved Conifold with Diagonal and Anti-Diagonal Actions. https://doi.org/10.1007/s11005-022-01618-y

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