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Exotic Dehn twists and homotopy coherent group actions

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arxiv 2409.11806 v2 pith:RRFDRGVA submitted 2024-09-18 math.GT

Sungkyung Kang , JungHwan Park , Masaki Taniguchi This is my paper · ORCID
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keywords coherentdehnexoticgrouphomotopysmoothspheretwists
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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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  1. Irreducible 4-manifolds can admit exotic diffeomorphisms

    math.GT 2024-12 accept novelty 7.0 of 10

    The authors construct the first examples of irreducible closed 4-manifolds admitting exotic diffeomorphisms, using a families Seiberg-Witten constraint and explicit lattice automorphisms.

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