Symplectic Calabi-Yau 6-manifolds

被引：4

作者：

Akhmedov, Anar ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

ADVANCES IN MATHEMATICS | 2014年 / 262卷

基金：

美国国家科学基金会;

关键词：

Calabi-Yau; 6-manifolds; Symplectic connected sum; Co-isotropic Luttinger surgery; Lefschetz fibration; LUTTINGER SURGERY; SMOOTH STRUCTURES; LAGRANGIAN TORI; 4-MANIFOLDS; SURFACES;

D O I：

10.1016/j.aim.2014.05.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we construct simply connected symplectic Calabi-Yau 6-manifolds by applying Gompf's symplectic fiber sum operation along T-4. Using our method, we also construct symplectic non-Kahler 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 Z(p) x Z(q), and Z x Z(q) for any p >= 1 and q >= 2 via co-isotropic Luttinger surgery. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：115 / 125

页数：11

共 29 条

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[2]

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[3]

Akhmedov A., PREPRINT

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