Standard vs. Reduced Genus-One Gromov-Witten Invariants
Algebraic Geometry
2016-01-20 v3 Symplectic Geometry
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 genus-one GW-invariants of a Calabi-Yau projective hypersurface and verify a recent mirror symmetry prediction for a sextic fourfold as a special case.
Keywords
Cite
@article{arxiv.0706.0715,
title = {Standard vs. Reduced Genus-One Gromov-Witten Invariants},
author = {Aleksey Zinger},
journal= {arXiv preprint arXiv:0706.0715},
year = {2016}
}
Comments
a number of minor corrections; 31 pages, 4 figures