Exotic Dehn twists and homotopy coherent group actions

Sungkyung Kang; JungHwan Park; Masaki Taniguchi

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arXiv · 2409.11806

Exotic Dehn twists and homotopy coherent group actions

Sungkyung Kang·JungHwan Park·Masaki Taniguchi

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Abstract

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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BibTeX RIS

Sungkyung Kang, JungHwan Park, Masaki Taniguchi. 2024-09-26. Exotic Dehn twists and homotopy coherent group actions. https://arxiv.org/abs/2409.11806

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