3 papers
math.GT2026
Corks for exotic diffeomorphisms
Vyacheslav Krushkal, Anubhav Mukherjee, Mark Powell +1
We prove a localization theorem for exotic diffeomorphisms, showing that every diffeomorphism of a compact simply-connected 4-manifold that is isotopic to the identity after stabil…
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…
math.GT2025
Smoothing topological pseudo-isotopies of 4-manifolds
Patrick Orson, Mark Powell, Oscar Randal-Williams
Given a closed, smooth 4-manifold and self-diffeomorphism that is topologically pseudo-isotopic to the identity, we study the question of whether is moreover smoothly p…