Published in |
Journal of Gökova Geometry Topology, Volume 2 (2008) |
Title |
Every 4-Manifold is BLF |
Author |
Selman Akbulut and Cagri Karakurt |
Abstract |
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).
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Keywords |
4-manifold, symplectic manifold, Lefschetz fibration |
Pages | 83-106 |
Download |
PDF |
Submitted: | August 4, 2008 |
Accepted: | October 4, 2008 |
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