Every 4-Manifold is BLF

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dc.creatorAkbulut, Selman
dc.creatorKarakurt, Cagri
dc.date2008-03-15
dc.date2009-01-07
dc.date.accessioned2026-07-07T12:24:46Z
dc.date.available2026-07-07T12:24:46Z
dc.descriptionHere we show that every compact smooth 4-manifold X has a structure of a Broken Lefschetz Fibration (BLF in short). Furthermore, if b_{2}^{+}(X)> 0 then it also has a Broken Lefschetz Pencil structure (BLP) with nonempty base locus. This imroves a Theorem of Auroux, Donaldson and Katzarkov, and our proof is topological (i.e. uses 4-dimensional handlebody theory).
dc.description24 pages, 14 figures, published version
dc.identifierhttps://arxiv.org/abs/0803.2297
dc.identifierhttp://arxiv.org/abs/0803.2297
dc.identifierJournal of Gokova Geometry Topology, Volume 2 (2008) 83-106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214427
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subject57R55, 57R65, 57R17, 57M50
dc.titleEvery 4-Manifold is BLF
dc.typetext

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