Spin Lefschetz fibrations are abundant

Published 3 Mar 2023 in math.GT and math.SG | (2303.01717v2)

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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