On genera of Lefschetz fibrations and finitely presented groups
Geometric Topology
2014-04-01 v1
Abstract
It is known that every finitely presented group is the fundamental group of the total space of a Lefschetz fibration. In this paper, we give another proof which improves the result of Korkmaz. In addition, Korkmaz defined the genus of a finitely presented group. We also evaluate upper bounds for genera of some finitely presented groups.
Keywords
Cite
@article{arxiv.1403.7736,
title = {On genera of Lefschetz fibrations and finitely presented groups},
author = {Ryoma Kobayashi},
journal= {arXiv preprint arXiv:1403.7736},
year = {2014}
}
Comments
24 pages, 17 figures