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arXiv 1902.02840math.GT
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高阶软木塞

Higher order corks

Paul Melvin, Hannah Schwartz

摘要:

本文证明了:任意有限的光滑闭单连通4-流形列都可以通过从X中去掉一个紧致可收缩子流形(或cork),然后用边界同态的幂来重新调整它而得到.然后,我们使用这个结果来“分离”有限家庭的软木塞嵌入在一个固定的4-流形。

英文摘要:

It is shown that any finite list of smooth closed simply-connected 4-manifolds homeomorphic to a given one X can be obtained by removing a single compact contractible submanifold (or cork) from X, and then regluing it by powers of a boundary diffeomorphism. We then use this result to "separate" finite families of corks embedded in a fixed 4-manifold.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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