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<p>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.</p>

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Exotic Dehn twists and homotopy coherent group actions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月10日

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  • Sungkyung Kang,
  • JungHwan Park,
  • Masaki Taniguchi

摘要

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.