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Mapping class groups of simply connected 4-manifolds with boundary
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We compute the topological mapping class group of every compact, simply connected, topological 4-manifold. This was previously only known in the closed case. If the 4-manifold is smooth, we deduce an analogous description of the stable smooth mapping class group, extending work of Saeki.
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Cited by 2 Pith papers
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A new gluing theorem for parameterized Seiberg-Witten invariants gives infinite rank Z^∞ summands in higher homotopy and homology of diffeomorphism groups of 4-manifolds that are topologically trivial.
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Knotted surfaces with simply-connected complements
Homologous genus-g surfaces with boundary a fixed knot and simply-connected complements in a simply-connected 4-manifold with S^3 boundary are topologically ambiently isotopic rel. boundary.
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