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arXiv · 2509.06624

Orientation double covers of non-orientable Lefschetz fibrations

Tomoya Yoshikawa
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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.

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Tomoya Yoshikawa. 2025-09-08. Orientation double covers of non-orientable Lefschetz fibrations. https://arxiv.org/abs/2509.06624

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