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arXiv · 0803.2297

Every 4-Manifold is BLF

Selman Akbulut·Cagri Karakurt
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Abstract

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).

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Selman Akbulut, Cagri Karakurt. 2009-01-07. Every 4-Manifold is BLF. https://arxiv.org/abs/0803.2297

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