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.
New con- structions and invariants of closed exotic 4-manifolds
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For each odd integer p > 1, infinitely many pairwise non-diffeomorphic irreducible smooth structures are constructed on a definite 4-manifold with infinite fundamental group whose abelianization is Z/2pZ × Z/2Z.
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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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Smooth structures on definite four-manifolds with infinite fundamental group
For each odd integer p > 1, infinitely many pairwise non-diffeomorphic irreducible smooth structures are constructed on a definite 4-manifold with infinite fundamental group whose abelianization is Z/2pZ × Z/2Z.