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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
Warping labeling for twisted knots and twisted virtual braids
Komal Negi, Ayaka Shimizu, Madeti Prabhakar
In this paper, we introduce the concept of the warping degree for twisted knots, construct an invariant for them, and utilize it to establish a labeling scheme for these knots, kno…
math.GT2024
Singular twisted links and singular twisted virtual braids
Komal Negi, Madeti Prabhakar
The concepts of twisted knot theory and singular knot theory inspire the introduction of singular twisted knot theory. This study showcases similar findings for singular twisted li…