2 problems

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Nontriviality conjecture for the constructed diffeomorphism of the 4-sphere
Nontriviality conjecture. The diffeomorphism $f$ is not smoothly isotopic to the identity. This would provide a potentially nontrivial pseudo-isotopy of $S^4$ arising from the disc…
Conjectureopendiffeomorphisms four-manifolds pseudo-isotopyarXiv posted 2 days ago
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Concordance obstruction conjecture for positive-scalar-curvature metrics
Let $M$ be a manifold admitting a psc-metric, and suppose that the obstruction group for pseudo-isotopy versus isotopy of diffeomorphisms contains a nontrivial element represented…
Conjectureopenpositive-scalar-curvature psc-metrics pseudo-isotopyarXiv posted 2 days ago

Nontriviality conjecture for the constructed diffeomorphism of the 4-sphere