The existence of an indecomposable minimal genus two Lefschetz fibration
classification
🧮 math.GT
math.SG
keywords
lefschetzminimalfibrationindecomposableconjecturedconverseexistenceexists
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It was shown by Usher that any fiber sum of Lefschetz fibrations over $S^2$ is minimal, which was conjectured by Stipsicz. We prove that the converse does not hold by showing that there exists an indecomposable minimal genus-2 Lefschetz fibration.
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