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arXiv · 2303.01717

Spin Lefschetz fibrations are abundant

Mihail Arabadji·R. Inanc Baykur
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Abstract

We prove that any finitely presented group can be realized as the fundamental group of a spin Lefschetz fibration over the 2-sphere. We moreover show that any admissible lattice point in the symplectic geography plane below the Noether line can be realized by a simply-connected spin Lefschetz fibration.

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Mihail Arabadji, R. Inanc Baykur. 2023-03-10. Spin Lefschetz fibrations are abundant. https://doi.org/10.2140/pjm.2023.326.1

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