Simply Connected Symplectic Calabi-Yau 6-Manifolds

Details Simply Connected Symplectic Calabi-Yau 6-Manifolds Simply Connected Symplectic Calabi-Yau 6-Manifolds

2011-07-13

arxiv.org/abs/1107.2623v3

Mathematics

Geometric Topology

10 pages

Scientific paper

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-K\"{a}hler 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.

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