Constructs non-split 2-component links in S^4 to obtain topologically split but smoothly non-split links in #^n CP^2, yielding exotic simply connected definite 4-manifolds with boundary and exotic Mazur manifold embeddings in S^4.
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Proves that topologically isotopic surfaces trivial in Z/2-homology are smoothly isotopic after stabilization by S2xS2 sums, and holds for fundamental groups including free products of knot groups and free groups.
citing papers explorer
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Links of Mazur manifolds and exotica
Constructs non-split 2-component links in S^4 to obtain topologically split but smoothly non-split links in #^n CP^2, yielding exotic simply connected definite 4-manifolds with boundary and exotic Mazur manifold embeddings in S^4.
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Smooth stable isotopy of topologically isotopic surfaces
Proves that topologically isotopic surfaces trivial in Z/2-homology are smoothly isotopic after stabilization by S2xS2 sums, and holds for fundamental groups including free products of knot groups and free groups.