104 citations
- National Astronomical Observatory of JapanJP7 papers
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Showing 2019Show all
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math.GT2019★ 9 cited
A multiple group rack and oriented spatial surfaces
Atsushi Ishii, Shosaku Matsuzaki, Tomo Murao
A spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several typical examples of spatial surfaces and construct a coloring invariant to distin…
math.GT2019★ 10 cited
A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere
Shosaku Matsuzaki
We give a presentation for a non-split compact surface embedded in the 3-sphere by using diagrams of spatial trivalent graphs equipped with signs and we define Reidemeister moves f…