5 papers
Multi-virtual braid groups
Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Komal Negi +1
L. Kauffman (2024) introduced multi-virtual and symmetric multi-virtual braid groups, which are generalizations of the virtual braid group. We introduce multi-virtual pure and mult…
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…
The monoid structure of singular twisted virtual braids
Prabhakar Madeti, Komal Negi
In this paper, we examine specific submonoids within the singular twisted virtual braid monoid . Notably, we establish that the singular twisted virtual pure braid monoid $…
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…
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…