含无环光滑流形的同调球与辛填充

IF 0.8 3区数学 Q2 MATHEMATICS

Michigan Mathematical Journal Pub Date : 2020-04-16 DOI:10.1307/mmj/20206003

John B. Etnyre, B. Tosun

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引用次数: 4

摘要

在本文中，我们收集了各种结构结果，以确定积分同调$3$-球何时界于无环光滑$4$-流形，以及何时可升级为Stein嵌入。在另一个方向上，我们研究了$\mathbb{C}^2$中透镜空间的连通和的平滑嵌入是否可以升级为Stein嵌入，并确定这种情况永远不会发生。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Homology Spheres Bounding Acyclic Smooth Manifolds and Symplectic Fillings

In this paper, we collect various structural results to determine when an integral homology $3$--sphere bounds an acyclic smooth $4$--manifold, and when this can be upgraded to a Stein embedding. In a different direction we study whether smooth embedding of connected sums of lens spaces in $\mathbb{C}^2$ can be upgraded to a Stein embedding, and determined that this never happens.

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来源期刊

Michigan Mathematical Journal 数学-数学

CiteScore

1.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.