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Reverse engineering small 4-manifolds

Ronald Fintushel, B. Doug Park, Ronald J. Stern

math.GTarXiv:math/0701846

Abstract

We introduce a general procedure called `reverse engineering' that can be used to construct infinite families of smooth 4-manifolds in a given homeomorphism type. As one of the applications of this technique, we produce an infinite family of pairwise nondiffeomorphic 4-manifolds homeomorphic to CP2#3(-CP2).

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