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Local Gromov-Witten Invariants are Log Invariants
We prove a simple equivalence between the virtual count of rational curves in
the total space of an anti-nef line bundle and the virtual count of rational
curves maximally tangent to a smooth section of the dual line bundle. We
conjecture a generalization to direct sums of line bundles.Comment: 15 pages, version accepted for publication in Advances in Mathematic