Noncomplex smooth 4-manifolds with Lefschetz fibrations
classification
🧮 math.GT
math.SG
keywords
fibrationslefschetzmanifoldssmoothadmitcarrycomplexeither
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For every integer g greater than or equal to 2, there exist infinitely many pairwise nonhomeomorphic smooth 4-manifolds that admit genus-g Lefschetz fibrations over S^2 but do not carry any complex structure with either orientation. This extends a recent result of Ozbagci and Stipsicz.
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