Local Gromov-Witten Invariants are Log Invariants
Algebraic Geometry
2020-01-09 v2
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.
Keywords
Cite
@article{arxiv.1712.05210,
title = {Local Gromov-Witten Invariants are Log Invariants},
author = {Michel van Garrel and Tom Graber and Helge Ruddat},
journal= {arXiv preprint arXiv:1712.05210},
year = {2020}
}
Comments
15 pages, version accepted for publication in Advances in Mathematics