Orientation double covers of non-orientable Lefschetz fibrations

2025/09/08 by Yoshikawa, Tomoya
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2509.06624

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.

Citations

• On nonorientable 4--manifolds
• Lantern relations and rational blowdowns
• Rational Blowdowns of Smooth 4-Manifolds

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