Second obstruction to pseudoisotopy I

Kiyoshi Igusa

Second obstruction to pseudoisotopy I

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arxiv 2110.09659 v1 pith:GSH6YHWO submitted 2021-10-18 math.GT math.AT

Kiyoshi Igusa This is my paper · ORCID

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keywords pseudoisotopygivemanifoldsobstructionsecondtimesannouncedbeen

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abstract

A pseudoisotopy of $M$ is a diffeomorphism of $M\times I$ which is the identity on $M\times 0$. We give an explicit construction of pseudoisotopies of 4-manifolds which realize certain elements of the "second obstruction to pseudoisotopy". The next paper will give precise statements of our results for 5-manifolds which had been announced long ago.

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Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds
math.GT 2025-06 conditional novelty 7.0 of 10

A topological version of the Hatcher-Wagoner pseudo-isotopy obstructions is defined in dimension four and used to construct homeomorphisms of Y times S1 that are pseudo-isotopic but not isotopic to the identity.

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