%0 Journal Article
%T Every 4-Manifold is BLF
%A Selman Akbulut
%A Cagri Karakurt
%J Mathematics
%D 2008
%I arXiv
%X Here 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).
%U http://arxiv.org/abs/0803.2297v4