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math.GT2024
Signature and crossing number of links
Kai Ishihara, Kei Okada, Koya Shimokawa
This paper investigates the relationship between the signature and the crossing number of knots and links. We refine existing theorems and provide a comprehensive classification of…
math.GT2018
Neighborhood equivalence for multibranched surfaces in 3-manifolds
Kai Ishihara, Yuya Koda, Makoto Ozawa +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…