English

Constructing broken Lefschetz fibrations from handle decompositions

Geometric Topology 2015-12-01 v1

Abstract

We present an approach to constructing broken Lefschetz fibrations (BLFs) f:XS2f:X\rightarrow S^2 from a handle decomposition of a 4-manifold XX. Given a handle decomposition as input these techniques yield explicit descriptions of the BLFs, and do not rely on classification results from contact topology or the choice of a generic indefinite function like some earlier approaches. We show that this approach will always work in the case when XX is the double of a 4-manifold with boundary, and compute explicit examples of BLFs on connected sums of S2S^2-bundles.

Keywords

Cite

@article{arxiv.1511.08917,
  title  = {Constructing broken Lefschetz fibrations from handle decompositions},
  author = {Mark C. Hughes},
  journal= {arXiv preprint arXiv:1511.08917},
  year   = {2015}
}

Comments

21 pages, 17 figures

R2 v1 2026-06-22T11:56:14.191Z