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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…
math.GT2025
Simply slicing knots
Anthony Conway, Patrick Orson, Mark Pencovitch
Given a simply-connected 4-manifold with boundary the 3-sphere, this paper establishes sufficient conditions for a knot in the boundary to be sliced by a locally flat disc in the 4…