Abstract
We give an explicit formula for the difference between the standard and reduced genus-one Gromov-Witten invariants. Combined with previous work on geometric properties of the latter, this paper makes it possible to compute the standard genus-one GW-invariants of complete intersections. In particular, we obtain a closed formula for the genusone GW-invariants of a Calabi-Yau projective hypersurface and verify a recent mirror symmetry prediction for a sextic fourfold as a special case.
| Original language | English |
|---|---|
| Pages (from-to) | 1203-1241 |
| Number of pages | 39 |
| Journal | Geometry and Topology |
| Volume | 12 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2008 |
Keywords
- Gromov-Witten invariants
- Mirror symmetry
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