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math.GT2026
Pseudo-Isotopy and Diffeomorphisms of the 4-Sphere I: Loops of Spheres
David Gabai, David T. Gay, Daniel Hartman
We introduce new methods in pseudo-isotopy and embedding space theory. As an application we introduce an invariant that detects nontrivial loops of embedded 2-spheres in $S^{2} \ti…
math.GT2026
Pseudo-isotopies of simply connected 4-manifolds
David Gabai, David T. Gay, Daniel Hartman +2
Perron and Quinn gave independent proofs in 1986 that every topological pseudo-isotopy of a simply-connected, compact topological 4-manifold is isotopic to the identity. Another re…