A real open book not fillable by a real Lefschetz fibration
Geometric Topology
2018-07-17 v1
Abstract
A real 3- or 4-manifold has by definition an orientation preserving smooth involution acting on it. We consider Lefschetz fibrations of 4-dimensional manifolds-with-boundary and open book decompositions on their boundary in the existence of a real structure. We prove that there is a real open book which cannot be filled by a real Lefschetz fibration, although it is filled by non-real Lefschetz fibrations.
Keywords
Cite
@article{arxiv.1301.5147,
title = {A real open book not fillable by a real Lefschetz fibration},
author = {Ferit Ozturk and Nermin Salepci},
journal= {arXiv preprint arXiv:1301.5147},
year = {2018}
}
Comments
6 pages, 1 figure