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

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dc.creatorBraungardt, V.
dc.creatorKotschick, D.
dc.date2002-04-11
dc.date2003-04-14
dc.date.accessioned2026-07-07T06:32:18Z
dc.date.available2026-07-07T06:32:18Z
dc.descriptionWe 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.
dc.descriptionminor corrections; to appear in Trans. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0204153
dc.identifierhttp://arxiv.org/abs/math/0204153
dc.identifierTrans. Amer. Math. Soc. 355 (2003), 3217-3226.
dc.identifierdoi:10.1090/S0002-9947-03-03290-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98861
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject57R17, 57R57, 14H10
dc.titleClustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality
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