A real open book not fillable by a real Lefschetz fibration

Ferit Ozturk; Nermin Salepci

doi:10.1142/s0129167x14500311

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arXiv · 1301.5147

A real open book not fillable by a real Lefschetz fibration

Ferit Ozturk·Nermin Salepci

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Abstract

A real 3- or 4-manifold has by definition an orientation preserving smooth involution acting on it. We consider Lefschetz fibrations of 4-dimensional manifolds-with-boundary and open book decompositions on their boundary in the existence of a real structure. We prove that there is a real open book which cannot be filled by a real Lefschetz fibration, although it is filled by non-real Lefschetz fibrations.

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Ferit Ozturk, Nermin Salepci. 2013-01-22. A real open book not fillable by a real Lefschetz fibration. https://doi.org/10.1142/s0129167x14500311

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