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arxiv: 2402.16167 · v3 · pith:GXFQBWEM · submitted 2024-02-25 · math.GT · math.AT

A note on homotopy and pseudoisotopy of diffeomorphisms of 4-manifolds

Manuel Krannich , Alexander Kupers This is my paper

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classification math.GT math.AT
keywords diffeomorphismsexamplesgroupmanifoldsnoteclosedexplainfree
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This note serves to record examples of diffeomorphisms of closed smooth $4$-manifolds $X$ that are homotopic but not pseudoisotopic to the identity, and to explain why there are no such examples when $X$ is orientable and its fundamental group is a free group.

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