Reverse engineering small 4-manifolds
classification
🧮 math.GT
math.SG
keywords
manifoldsengineeringinfinitereverseapplicationscalledconstructfamilies
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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 CP^2#3(-CP^2).
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