Kai Ishihara, Yuya Koda, Makoto Ozawa, Koya Shimokawa
Published 2018-06-23Version 1
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.
Comments: 13 pages, 8 figures
Genera and minors of multibranched surfaces
The maximum and minimum genus of a multibranched surface
Stable equivalence of handlebody decompositions whose partitions are multibranched surfaces
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