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math.GT2024
Hurwitz equivalence in the universal dihedral quandle
Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh +1
We investigate the Hurwitz action of the -braid group on the -fold Cartesian product of the universal dihedral quandle. We introduce three computable invariants and prove tha…
math.GT2024
Virtualized Delta, sharp, and pass moves for oriented virtual knots and links
Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh +1
We study virtualized Delta, sharp, and pass moves for oriented virtual links, and give necessary and sufficient conditions for two oriented virtual links to be related by the local…
math.GT2024
Virtualized Delta moves for virtual knots and links
Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh +1
We introduce a local deformation called the virtualized -move for virtual knots and links. We prove that the virtualized -move is an unknotting operation for virtual knots. F…