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arXiv · 1712.05210

Local Gromov-Witten Invariants are Log Invariants

Michel van Garrel·Tom Graber·Helge Ruddat
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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.

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Michel van Garrel, Tom Graber, Helge Ruddat. 2017-12-14. Local Gromov-Witten Invariants are Log Invariants. https://doi.org/10.1016/j.aim.2019.04.063

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