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arxiv: 0912.4727 · v3 · submitted 2009-12-23 · 🧮 math.GT · math.AG

Twisting 4-manifolds along RP²

classification 🧮 math.GT math.AG
keywords alongtwistingobtainedsurfacecopydolgachevellipticexotic
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We prove that the Dolgachev surface E(1)_{2,3} (which is an exotic copy of the elliptic surface E(1)=CP^2 # 9(-CP^2)) can be obtained from E(1) by twisting along a simple "plug", in particular it can be obtained from E(1) by twisting along an RP^2.

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