Neighborhood equivalence for multibranched surfaces in 3-manifolds
Geometric Topology
2018-06-26 v1
Abstract
A multibranched surface is a 2-dimensional polyhedron without vertices. We introduce moves for multibranched surfaces embedded in a 3-manifold, which connect any two multibranched surfaces with the same regular neighborhoods in finitely many steps.
Cite
@article{arxiv.1806.08919,
title = {Neighborhood equivalence for multibranched surfaces in 3-manifolds},
author = {Kai Ishihara and Yuya Koda and Makoto Ozawa and Koya Shimokawa},
journal= {arXiv preprint arXiv:1806.08919},
year = {2018}
}
Comments
13 pages, 8 figures