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math.GT2026
B-index polynomial for twisted knots
Kirandeep Kaur, Madeti Prabhakar, Vaibhav Keshari
A twisted link is a generalization of a virtual link associated with link diagrams on closed surfaces, which may be non-orientable. In this paper, we generalize the notion of the i…
math.GT2025
Classification of virtual links by arc shift move
Aastha Sahore, Komal Negi, Amrender Singh Gill +1
In this paper, we establish that the arc shift operation on a -component virtual link diagram acts as an unknotting operation when the virtual link is -homogeneous proper, ai…
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…