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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Mazur and Jester manifolds have pairwise nonhomeomorphic boundaries via an octahedral hyperbolic structure, Dehn filling, and systolic geodesics, distinguishing their contractible 4-manifolds.
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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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Mazur's knot and the Octahedron
Mazur and Jester manifolds have pairwise nonhomeomorphic boundaries via an octahedral hyperbolic structure, Dehn filling, and systolic geodesics, distinguishing their contractible 4-manifolds.