In this article, we construct simply connected symplectic Calabi-Yau 6-manifolds by applying Gompf's symplectic fiber sum operation along T4. Using our method, we also construct symplectic non-Kähler Calabi-Yau 6-manifolds with fundamental group Z. This paper also produces the first examples of simply connected and non-simply connected symplectic Calabi-Yau 6-manifolds with fundamental groups Zp×Zq, and Z×Zq for any p ≥ 1 and q ≥ 2 via co-isotropic Luttinger surgery.
- Calabi-Yau 6-manifolds
- Co-isotropic luttinger surgery
- Lefschetz fibration
- Symplectic connected sum