Simply Connected Symplectic Calabi-Yau 6-Manifolds

Abstract

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 $\mathbb{Z}$. 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.

10 pages

References in corpus (3)

• Hyperbolic geometry and non-Kahler manifolds with trivial canonical bundle
• Luttinger surgery and Kodaira dimension
• Coisotropic Luttinger surgery and some new symplectic 6-manifolds with vanishing canonical class

Cited by in corpus (3)

• The diversity of symplectic Calabi-Yau six-manifolds
• Geography of symplectic 4- and 6-manifolds
• Symplectic geography problem in dimension six