Lefschetz fibrations over the disc
Geometric Topology
2013-09-11 v3
Abstract
We provide a complete set of moves relating any two Lefschetz fibrations over the disk having as their total space the same 4-dimensional 2-handlebody up to 2-equivalence. As a consequence, we also obtain moves relating diffeomorphic 3-dimensional open books, providing a different approach to an analogous previous result by Harer.
Keywords
Cite
@article{arxiv.1104.4536,
title = {Lefschetz fibrations over the disc},
author = {Nikos Apostolakis and Riccardo Piergallini and Daniele Zuddas},
journal= {arXiv preprint arXiv:1104.4536},
year = {2013}
}
Comments
Improved exposition, now equivalent to the published one; 51 pages, 67 figures