Planar Lefschetz fibrations and Stein structures with distinct Ozsvath Szabo invariants on corks

被引：4

作者：

Karakurt, Cagri ^{[1
]}

Oba, Takahiro ^{[2
]}

Ukida, Takuya ^{[2
]}

机构：

[1] Bogazici Univ, Dept Math, TR-34342 Istanbul, Turkey

[2] Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2017年 / 221卷

关键词：

Contact geometry; Floer homology; Stein manifolds; SURFACES;

D O I：

10.1016/j.topol.2017.02.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Thanks to a result of Lisca and Matic and a refinement by Plamenevskaya, it is known that on a 4-manifold with boundary Stein structures with non-isomorphic Spin(c) structures induce contact structures with distinct Ozsvath-Szabo invariants. Here we give an infinite family of examples showing that converse of Lisca-Matic-Plamenevskaya theorem does not hold in general. Our examples arise from Mazur type corks. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：630 / 637

页数：8

共 7 条

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