论文标题
Virasoro的稳定对构成曲线的约束3倍
Virasoro constraints for stable pairs on toric 3-folds
论文作者
论文摘要
使用新的显式公式，用于非弹性弹性旋转曲线的固定GW/PT下降对应关系，我们表明，稳定地图中稳定地图中的Virasoro约束与稳定对的Virasoro约束相互交织在一起。由于已知在格罗莫夫（Gromov）理论中的virasoro限制在复曲面中存在，因此我们建立了固定的virasoro约束，以构成稳定对的三倍曲面理论的稳定理论。结果，还获得了对表面上希尔伯特（Hilbert）方案的重言式积分方案的新Virasoro限制。
Using new explicit formulas for the stationary GW/PT descendent correspondence for nonsingular projective toric 3-folds, we show that the correspondence intertwines the Virasoro constraints in Gromov-Witten theory for stable maps with the Virasoro constraints for stable pairs. Since the Virasoro constraints in Gromov-Witten theory are known to hold in the toric case, we establish the stationary Virasoro constraints for the theory of stable pairs on toric 3-folds. As a consequence, new Virasoro constraints for tautological integrals over Hilbert schemes of points on surfaces are also obtained.
