Local Gromov-Witten Invariants are Log Invariants
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- 10.48550/arXiv.1712.05210
- arXiv:
- arXiv:1712.05210
- Bibcode:
- 2017arXiv171205210V
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14N35;
- 14D06;
- 53D45
- E-Print:
- 15 pages, version accepted for publication in Advances in Mathematics