On Equivariant Gromov--Witten Invariants of Resolved Conifold with Diagonal and Anti-Diagonal Actions
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 P1, 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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