Universal Lefschetz fibrations over bounded surfaces
Geometric Topology
2015-03-19 v3
Abstract
In analogy with the vector bundle theory we define universal and strongly universal Lefschetz fibrations over bounded surfaces. After giving a characterization of these fibrations we construct very special strongly universal Lefschetz fibrations when the fiber is the torus or an orientable surface with connected boundary and the base surface is the disk. As a by-product we also get some immersion results for 4-dimensional 2-handlebodies.
Keywords
Cite
@article{arxiv.1106.3530,
title = {Universal Lefschetz fibrations over bounded surfaces},
author = {Daniele Zuddas},
journal= {arXiv preprint arXiv:1106.3530},
year = {2015}
}
Comments
Last update: minor revisions; Major revision: more general definitions and results; 15 pages, 16 figures