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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, , into . 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…