Symplectic Calabi–Yau 6-manifolds

In this article, we construct simply connected symplectic Calabi–Yau 6-manifolds by applying Gompf's symplectic fiber sum operation along T4T4. Using our method, we also construct symplectic non-Kähler Calabi–Yau 6-manifolds with fundamental group ZZ. This paper also produces the first examples of simply connected and non-simply connected symplectic Calabi–Yau 6-manifolds with fundamental groups Zp×ZqZp×Zq, and Z×ZqZ×Zq for any p≥1p≥1 and q≥2q≥2via co-isotropic Luttinger surgery.