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Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality

V. Braungardt·D. Kotschick
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Abstract

We prove upper bounds for the number of critical points in semistable symplectic Lefschetz fibrations. We also obtain a new lower bound for the number of nonseparting vanishing cycles in Lefschetz pencils, and reprove the known lower bounds for the commutator lengths of Dehn twists.

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V. Braungardt, D. Kotschick. 2003-04-14. Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality. https://doi.org/10.1090/s0002-9947-03-03290-2

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