Simply Connected Symplectic Calabi-Yau 6-Manifolds
Geometric Topology
2021-02-17 v3 Algebraic Geometry
Differential Geometry
Symplectic Geometry
Abstract
In this paper, we construct simply connected symplectic Calabi-Yau 6-manifolds by applying Gompf's symplectic fiber sum operation along . Using our construction, we also produce symplectic non-K\"{a}hler Calabi-Yau 6-manifolds with fundamental group . 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.
Keywords
Cite
@article{arxiv.1107.2623,
title = {Simply Connected Symplectic Calabi-Yau 6-Manifolds},
author = {Anar Akhmedov},
journal= {arXiv preprint arXiv:1107.2623},
year = {2021}
}
Comments
10 pages