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On Equivariant Gromov--Witten Invariants of Resolved Conifold with Diagonal and Anti-Diagonal Actions (2203.16812v1)
Published 31 Mar 2022 in math-ph, math.AG, math.MP, and nlin.SI
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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