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Every 4-Manifold is BLF

Authors
  • Akbulut, Selman
  • Karakurt, Cagri
Type
Published Article
Publication Date
Jan 07, 2009
Submission Date
Mar 15, 2008
Identifiers
arXiv ID: 0803.2297
Source
arXiv
License
Yellow
External links

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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