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.
Second obstruction to pseudoisotopy I
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math.GT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Pseudo-isotopy versus isotopy for homeomorphisms of 4-manifolds
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.