Surgery on nullhomologous tori and simply connected 4-manifolds with b^+=1

Mathematics – Geometric Topology

Scientific paper

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16 pages, 9 figures

Scientific paper

For 5 <= k <= 8 we show that the infinite family of exotic smooth structures
on CP^2# k(-CP^2) can be achieved by 1/n - surgeries on a single embedded
nullhomologous torus in a manifold R_k which is homeomorphic to CP^2# k(-CP^2).

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