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arxiv: math/0701043 · v1 · submitted 2007-01-01 · 🧮 math.GT · math.SG

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

classification 🧮 math.GT math.SG
keywords nullhomologousachievedconnectedembeddedexoticfamilyhomeomorphicinfinite
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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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