M. Prabhakar

activity

20242026

collaborators

6 papers

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.RT2026

Matrix representations of the twisted virtual braid group and its extensions

Mohamad N. Nasser, Vaibhav Keshari, Madeti Prabhakar

This paper classifies complex local representations of the twisted virtual braid group, $T V B_{2}$ , into $GL_{3} (C)$ . It shows that such representations fall into eigh…

math.GR2026

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…

math.RT2025

On representations of the multi-virtual braid group $M_{k} V B_{n}$ and the multi-welded braid group $M_{k} W B_{n}$

Vaibhav Keshari, Mohamad N. Nasser, Madeti Prabhakar

This paper classifies complex homogeneous $2$ -local representations of the multiple virtual braid group $M_{k} V B_{n}$ into $GL_{n} (C)$ for $n \geq 3$ and $k > 1$ , showing…

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 $n$ -component virtual link diagram acts as an unknotting operation when the virtual link is $n$ -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 $Z$ called the up-down action. In this paper, w…