Orientation double covers of non-orientable Lefschetz fibrations
Geometric Topology
2025-10-23 v2
Abstract
In this paper, we prove that the composition of the standard orientation double covering map and a non-orientable Lefschetz fibration is an achiral Lefschetz fibration and specify a monodromy factorization of this composition. As an application of these results, we also give three transformations with respect to monodromy factorizations of non-orientable Lefschetz fibrations which do not change their isomorphism classes via the similar result to orientable Lefschetz fibrations.
Keywords
Cite
@article{arxiv.2509.06624,
title = {Orientation double covers of non-orientable Lefschetz fibrations},
author = {Tomoya Yoshikawa},
journal= {arXiv preprint arXiv:2509.06624},
year = {2025}
}
Comments
19 pages, 3 figures, we corrected several minor typos and revised and added some expressions. We also changed the proof of Corollary 4.3