Constructing broken Lefschetz fibrations from handle decompositions
Geometric Topology
2015-12-01 v1
Abstract
We present an approach to constructing broken Lefschetz fibrations (BLFs) from a handle decomposition of a 4-manifold . 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 is the double of a 4-manifold with boundary, and compute explicit examples of BLFs on connected sums of -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