A partial order on multibranched surfaces in 3-manifolds
arXiv:1905.01055
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.
15 pages, 14 figures