Inequivalent Lefschetz fibrations on rational and ruled surfaces
Geometric Topology
2018-06-04 v1 Symplectic Geometry
Abstract
In this short note, we give an explicit construction of inequivalent Lefschetz pencils and fibrations of same genera on blow-ups of all rational and ruled surfaces. This complements our earlier results, concluding that every symplectic 4-manifold, after sufficiently many blow-ups, admits inequivalent Lefschetz pencils and fibrations, which cannot be obtained from one another even via any sequence of fibered Luttinger surgeries.
Keywords
Cite
@article{arxiv.1806.00375,
title = {Inequivalent Lefschetz fibrations on rational and ruled surfaces},
author = {R. Inanc Baykur},
journal= {arXiv preprint arXiv:1806.00375},
year = {2018}
}
Comments
For 2017 Georgia International Topology Conference Proceedings