Constructing Lefschetz Fibrations with Arbitrary Slope
Geometric Topology
2026-04-07 v2
Abstract
We prove that for any rational number , there exists a genus- Lefschetz fibration over the two-sphere with large enough genus- having the slope is .
Keywords
Cite
@article{arxiv.2512.03714,
title = {Constructing Lefschetz Fibrations with Arbitrary Slope},
author = {Tulin Altunoz and Adalet Cengel},
journal= {arXiv preprint arXiv:2512.03714},
year = {2026}
}
Comments
13 pages, 3 figures, improved the main result