Published in Journal of Gökova Geometry Topology, Volume 2 (2008)
Title Every 4-Manifold is BLF
Author Selman Akbulut and Cagri Karakurt
Here we show that every compact smooth 4-manifold X has a structure of a Broken Lefschetz Fibration (BLF in short). Furthermore, if b2+(X) > 0 then it also has a Broken Lefschetz Pencil structure (BLP) with nonempty base locus. This improves a theorem of Auroux, Donaldson and Katzarkov, and our proof is topological (i.e. uses 4-dimensional handlebody theory).
Keywords 4-manifold, symplectic manifold, Lefschetz fibration
Download PDF
Submitted: August 4, 2008
Accepted: October 4, 2008
 2008 Journal main page

Last updated: December 2008
Web address: