Standard versus reduced genus-one Gromov–Witten invariants
Standard versus reduced genus-one Gromov–Witten invariants
复制标题
DOI：
10.2140/gt.2008.12.1203
复制
发表时间：
2007-06
影响因子：
2
通讯作者：
A. Zinger
中科院分区：
文献类型：
--
作者：
A. Zinger
我们给出了一个明确的公式之间的差异的标准和约化genus-one Gromov维滕不变量。结合前人对后者几何性质的研究，本文使计算完全交的标准亏格一GW-不变量成为可能。特别地，我们得到了Calabi-Yau射影超曲面的亏格1 GW-不变量的封闭公式，并验证了最近的镜像对称预测作为特殊情况的六次四重。14D20、14N35; 53D45、53D99
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. 14D20, 14N35; 53D45, 53D99