The paper proves a Kirby-Siebenmann obstruction criterion for smoothing topological pseudo-isotopies of 4-manifolds, gives new positive cases for certain fundamental groups, and constructs the first diffeomorphisms that are topologically but not smoothly pseudo-isotopic to the identity.
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Smoothing topological pseudo-isotopies of 4-manifolds
The paper proves a Kirby-Siebenmann obstruction criterion for smoothing topological pseudo-isotopies of 4-manifolds, gives new positive cases for certain fundamental groups, and constructs the first diffeomorphisms that are topologically but not smoothly pseudo-isotopic to the identity.