arXiv:2402.16167 Abstract | arXiv Analytics

arXiv:2402.16167 [math.GT]Abstract References Reviews Resources

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

Published 2024-02-25, updated 2024-09-18Version 3

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.

Comments: 5 pages, to appear in Comptes Rendus Math\'ematique

Categories: math.GT, math.AT

Subjects: 57R52, 57R67, 57K40

Keywords: diffeomorphisms, pseudoisotopy, note serves, fundamental group, record examples

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