Every 4-Manifold is BLF
Geometric Topology
2009-01-07 v4 Algebraic Geometry
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).
Keywords
Cite
@article{arxiv.0803.2297,
title = {Every 4-Manifold is BLF},
author = {Selman Akbulut and Cagri Karakurt},
journal= {arXiv preprint arXiv:0803.2297},
year = {2009}
}
Comments
24 pages, 14 figures, published version