The equivariant Gromov-Witten potentials of local P^1×P^1 are proven to lie in an explicit finitely generated ring and to satisfy a holomorphic anomaly equation, via Givental-Teleman graph sums.
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Finite generation and holomorphic anomaly equation for equivariant Gromov-Witten invariants of $K_{\mathbb{P}^1\times\mathbb{P}^1}$
The equivariant Gromov-Witten potentials of local P^1×P^1 are proven to lie in an explicit finitely generated ring and to satisfy a holomorphic anomaly equation, via Givental-Teleman graph sums.