Spin Lefschetz fibrations are abundant
Geometric Topology
2023-12-20 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2303.01717,
title = {Spin Lefschetz fibrations are abundant},
author = {Mihail Arabadji and R. Inanc Baykur},
journal= {arXiv preprint arXiv:2303.01717},
year = {2023}
}
Comments
15 pages, several figures in color, corrected typos