Singular instanton Floer homology produces exotic pairs of slice disks for a strongly invertible Z-slice knot whose symmetric disks stay exotic under stabilizations by definite 4-manifolds or projective planes.
Homological instability for moduli spaces of smooth 4-manifolds
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Survey of gauge theory for families with focus on applications to diffeomorphism groups of 4-manifolds developed 2021-2025.
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Exotic disks and singular instanton Floer homology
Singular instanton Floer homology produces exotic pairs of slice disks for a strongly invertible Z-slice knot whose symmetric disks stay exotic under stabilizations by definite 4-manifolds or projective planes.
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Diffeomorphism groups and gauge theory for families
Survey of gauge theory for families with focus on applications to diffeomorphism groups of 4-manifolds developed 2021-2025.