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math.GT2025
Alexander-Markov correspondence for doodles on closed surfaces
Komal Negi, Mahender Singh
In this paper, we introduce twisted virtual doodles, defined as stable equivalence classes of immersed circles on closed surfaces that may be non-orientable. These objects admit pl…
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…