Simply Connected辛Calabi-Yau 6-流形
Simply Connected Symplectic Calabi-Yau 6-Manifolds
摘要：
本文利用Gompf的辛纤维和算子沿$T^4$构造了单连通辛Calabi-Yau 6-流形.利用我们的构造，我们还得到了具有基本群$\Z$的辛非Kähler Calabi-Yau 6-流形.在本文中，我们还产生了第一个例子，单连通辛Calabi-Yau和非Calabi-Yau 6-流形，通过共各向同性Luttinger手术。
英文摘要：
In this paper, we construct simply connected symplectic Calabi-Yau 6-manifolds by applying Gompf's symplectic fiber sum operation along $T^4$. Using our construction, we also produce symplectic non-Kähler Calabi-Yau 6-manifolds with fundamental group $\Z$. In this paper, we also produce the first examples of simply connected symplectic Calabi-Yau and non-Calabi-Yau 6-manifolds via coisotropic Luttinger surgery.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
