Vaibhav Keshari

collaborators

4 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.GT2026

Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups

Vaibhav Keshari, Taher I. Mayassi, Madeti Prabhakar +1

Motivated by the notion of the multi-virtual braid group introduced by L. Kauffman and by the study of extensions of the well-known twin group T_n, n >= 2, we introduce a new group…

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.RT2025

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…

B-index polynomial for twisted knots

Presentations and Representations of the Multi-Virtual Twin Group and Associated Subgroups

On representations of the multi-virtual braid group Mk​VBn​ and the multi-welded braid group Mk​WBn​

Matrix representations of the twisted virtual braid group and its extensions

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