On the complexity of non-orientable Seifert fibre spaces
Geometric Topology
2018-02-28 v4
Abstract
In this paper we deal with Seifert fibre spaces, which are compact 3-manifolds admitting a foliation by circles. We give a combinatorial description for these manifolds in all the possible cases: orientable, non-orientable, closed, with boundary. Moreover, we compute a potentially sharp upper bound for their complexity in terms of the invariants of the combinatorial description, extending to the non-orientable case results by Fominykh and Wiest for the orientable case with boundary and by Martelli and Petronio for the closed orientable case.
Keywords
Cite
@article{arxiv.1704.06721,
title = {On the complexity of non-orientable Seifert fibre spaces},
author = {Alessia Cattabriga and Sergei Matveev and Michele Mulazzani and Timur Nasybullov},
journal= {arXiv preprint arXiv:1704.06721},
year = {2018}
}
Comments
Revised version with some changes in the introduction. Accepted for publication on Indiana Univ. Math. J