A partial order on multibranched surfaces in 3-manifolds
Geometric Topology
2019-05-17 v2
Abstract
In this paper, we introduce a partial order on neighborhood equivalence classes of maximally spread essential multibranched surfaces embedded in a 3-manifold. We show that if a maximally spread essential multibranched surface is atoroidal and acylindrical, then its equivalence class is minimal with respect to the partial order.
Cite
@article{arxiv.1905.01055,
title = {A partial order on multibranched surfaces in 3-manifolds},
author = {Makoto Ozawa},
journal= {arXiv preprint arXiv:1905.01055},
year = {2019}
}
Comments
15 pages, 14 figures