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Spin Lefschetz fibrations are abundant

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Baykur,  R. Inanç
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Arabadji, M., & Baykur, R. I. (2023). Spin Lefschetz fibrations are abundant. Pacific Journal of Mathematics, 326(1), 1-16. doi:10.2140/pjm.2023.326.1.


Cite as: https://hdl.handle.net/21.11116/0000-000E-67F3-C
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 also 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.