异域德恩捻和同调相干群作用

arXiv - MATH - Geometric Topology Pub Date : 2024-09-18 DOI:arxiv-2409.11806

Sungkyung Kang, JungHwan Park, Masaki Taniguchi

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摘要

我们考虑了将光滑 4-manifold边界上的光滑同调相干有限循环群作用扩展到其内部的问题。作为一个结果，我们证明了沿着任何塞弗同调球（3 球除外）上的德恩扭转在其简单连接的正定填充上都是无穷阶异域的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exotic Dehn twists and homotopy coherent group actions

We consider the question of extending a smooth homotopy coherent finite cyclic group action on the boundary of a smooth 4-manifold to its interior. As a result, we prove that Dehn twists along any Seifert homology sphere, except the 3-sphere, on their simply connected positive-definite fillings are infinite order exotic.

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arXiv - MATH - Geometric Topology

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