Local Gromov-Witten invariants are log invariants

By Michel van Garrel, T. Graber, Helge Ruddat. Advances in Mathematics, 2017

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Abstract 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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/595ca91db002d4ea3ae41585c681e02be1a9a0ae