Descendents on local curves: rationality
Descendents on local curves: rationality
复制标题
局部曲线的后代：理性
作者：
R. Pandharipande;A. Pixton
摘要：我们研究了具有子代插入的三维局部曲线的稳定对理论。对于完整的局部曲线几何结构（关于缩放二维环面是等变的），包括高亏格曲线的相对条件和奇数次插入，确立了子代不变量的配分函数的合理性。有盖的单腿子代顶点（关于三维环面是等变的）也被证明是合理的。这些结果是通过将几何约束与对子代顶点的极点的详细分析相结合而得到的。
Abstract We study the stable pairs theory of local curves in 3-folds with descendent insertions. The rationality of the partition function of descendent invariants is established for the full local curve geometry (equivariant with respect to the scaling 2-torus), including relative conditions and odd-degree insertions for higher-genus curves. The capped 1-leg descendent vertex (equivariant with respect to the 3-torus) is also proven to be rational. The results are obtained by combining geometric constraints with a detailed analysis of the poles of the descendent vertex.
影响因子：
3.1
作者：
Pandharipande, R.;Thomas, R. P.
通讯作者：
Thomas, R. P.