Donaldson-Thomas Invariants of 2-Dimensional sheaves inside threefolds and modular forms
Donaldson-Thomas Invariants of 2-Dimensional sheaves inside threefolds and modular forms
复制标题
三重和模形式内二维滑轮的唐纳森-托马斯不变量
DOI：
10.1016/j.aim.2017.12.015
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
A. Sheshmani
中科院分区：
文献类型：
--
作者：
A. Gholampour;A. Sheshmani
在s对偶猜想的启发下，我们研究了三维平面上二维Gieseker稳定轴的Donaldson-Thomas不变量。这些束由非奇异的三倍X型纤维在非奇异曲线上支撑。在X是K3纤维的情况下，我们用K3纤维上点的Hilbert格式的欧拉特性和纤维的Noether-Lefschetz数来表示这些不变量。我们证明了这些不变量的某个生成函数是s对偶中所预测的权值- 3/2的向量模形式。
Motivated by the S-duality conjecture, we study the Donaldson–Thomas invariants of the 2-dimensional Gieseker stable sheaves on a threefold. These sheaves are supported on the fibers of a nonsingular threefold X fibered over a nonsingular curve. In the case where X is a K3 fibration, we express these invariants in terms of the Euler characteristic of the Hilbert scheme of points on the K3 fiber and the Noether–Lefschetz numbers of the fibration. We prove that a certain generating function of these invariants is a vector modular form of weight− 3/2 as predicted in S-duality.
影响因子：
3.1
作者：
Pandharipande, R.;Thomas, R. P.
通讯作者：
Thomas, R. P.