Smooth embeddings of rational homology balls

Tatyana Khodorovskiy

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Smooth embeddings of rational homology balls

机译：有理同源球的光滑嵌入

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摘要

The rational homology balls B_n appeared in Fintushel and Stern's rational blow-down construction and were subsequently used in to construct exotic smooth manifolds with small Euler numbers. We show that a large class of smooth 4-manifolds have all the B_ns for odd n ≥ 3 embedded in them. In particular, we give explicit examples, using Kirby calculus, of several families of smooth embeddings of the rational homology balls B_n.

机译：有理同构球B_n出现在Fintushel和Stern的有理排污构造中，随后被用于构造具有小Euler数的奇异光滑流形。我们表明，一大类光滑的4流形都将奇数n≥3的所有B_ns嵌入其中。尤其是，我们使用Kirby微积分给出了有理同源球B_n的几族平滑嵌入的显式示例。

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来源
《Topology and its applications》 |2014年第1期|386-396|共11页
作者
Tatyana Khodorovskiy;
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作者单位

Hunter College, CUNY, Department of Mathematics and Statistics, Room 919/944 East, 695 Park Avenue, New York, NY 10065, United States;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Rational homology balls; Smooth 4-manifolds; Embeddings; Rational blow-down;

机译：理性同源球;平滑的4流形;嵌入;合理的排污;

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Smooth embeddings of rational homology balls

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