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math.GT2024
Orbits by the up-down action of braid diagrams
Komal Negi, Ayaka Shimizu, Yoshiro Yaguchi +1
The set of all virtual or classical braid diagrams forms a monoid and gives a natural monoid action on a direct product of called the up-down action. In this paper, w…
math.GT2024
Determinant of the OU matrix of a braid diagram
Ayaka Shimizu, Yoshiro Yaguchi
In this paper, we define the OU matrix of a braid diagram and discuss how the OU matrix reflects the warping degree or the layeredness of the braid diagram, and show that the deter…