10 papers
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…
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…
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…
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…
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…
Twisted Virtual Braid Group
Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Komal Negi +1
In this paper we study some subgroups and their decompositions in semi-direct product of the twisted virtual braid group . In particular, the twisted virtual pure braid grou…
Twisted virtual braids and twisted links
Komal Negi, Madeti Prabhakar, Seiichi Kamada
Twisted knot theory introduced by M. Bourgoin is a generalization of knot theory. It leads us to the notion of twisted virtual braids. In this paper we show theorems for twisted li…
Some evaluations of Jones polynomials for certain families of weaving knots
Sahil Joshi, Komal Negi, Madeti Prabhakar
In this paper, we derive formulae for the determinant of weaving knots and . We calculate the dimension of the first homology group with coefficients in $\mathbb{Z…