环面对称的Hull-Strominger方程组的解
Solutions to the Hull-Strominger system with torus symmetry
摘要：
我们构造了Hull-Strominger系统的新的光滑解，证明了K3曲面上环面丛的Fu-Yau解可以推广到K3 orbifolds上环面丛.特别地，我们证明了对于$13 \leq k \leq 22$和$14\leq r\leq 22$，光滑流形$S^1\times \sharp_k(S^2\times S^3)$和$\sharp_r (S^2 \times S^4) \sharp_{r+1} (S^3 \times S^3)$，具有平凡典范丛的复结构，并且允许Hull-Strominger系统的解.
英文摘要：
We construct new smooth solutions to the Hull-Strominger system, showing that the Fu-Yau solution on torus bundles over K3 surfaces can be generalized to torus bundles over K3 orbifolds. In particular, we prove that, for $13 \leq k \leq 22$ and $14\leq r\leq 22$, the smooth manifolds $S^1\times \sharp_k(S^2\times S^3)$ and $\sharp_r (S^2 \times S^4) \sharp_{r+1} (S^3 \times S^3)$, have a complex structure with trivial canonical bundle and admit a solution to the Hull-Strominger system.
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