Using new explicit formulas for the stationary Gromov–Witten/Pandharipande–Thomas ( $\mathrm {GW}/{\mathrm {PT}}$ ) descendent correspondence for nonsingular projective toric threefolds, we show that the correspondence intertwines the Virasoro constraints in Gromov–Witten theory for stable maps with the Virasoro constraints for stable pairs proposed in [18]. 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 threefolds. As a consequence, new Virasoro constraints for tautological integrals over Hilbert schemes of points on surfaces are also obtained.

使用平稳 Gromov–Witten/Pandharipande–Thomas ( $\mathrm {GW}/{\mathrm {PT}}$ ) 非奇异投影复曲面三重的后代对应的新显式公式，我们表明对应与 Gromov 中的 Virasoro 约束交织在一起-Witten 理论，用于稳定映射，具有 [18] 中提出的稳定对的 Virasoro 约束。由于已知 Gromov-Witten 理论中的 Virasoro 约束在复曲面情况下成立，因此我们为复曲面三重上的稳定对理论建立了平稳 Virasoro 约束。因此，还获得了用于曲面上点的希尔伯特方案的重言积分的新 Virasoro 约束。